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" Then multiply the second and third terms together, and divide the product by the first term: the quotient will be the fourth term, or answer. "
Easy Introduction to Mathematics - Page 114
by Charles Butler - 1814
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A Complete System of Theoretical and Mercantile Arithmetic: Comprehending a ...

George G. Carey - Arithmetic - 1818 - 602 pages
...means. Hence results the following rule for finding a fourth proportional to three given numbers. BULE. Multiply the second and third terms together, and divide the product by the first, and the quotient is the answer, or fourth proportional. EXAMPLE I. Required a fourth proportional to...
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A Treatise of Practical Arithmetic

Robert Patterson - Arithmetic - 1819 - 174 pages
...we have the equation ad = be, and this divided by a, will give d = —. In words — multiply the a second and third terms together, and divide the product by the first, and the quotient will be the fourth, or term required. II. IN ALLIGATION ALTERNATE. Let a, A, = the...
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The Scholar's Arithmetic: Designed for the Use of Schools in the United States

Jacob Willetts - Arithmetic - 1822 - 200 pages
...DIRECT PROPORTION. RULE. Prepare the given terms, if necessary, and state them as ia whole numbers : multiply the second and third terms together, and divide the product by the first : Or, Invert the first term and multiply the three together, as in Multiplication. EXAMPLES. i . If...
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A general view of the sciences and arts, Volume 1

William Jillard Hort - 1822 - 308 pages
...denomination, and bring the second into the lowest term mentioned. Multiply the second and third numbers together, and divide the product by the first. The quotient will be the answer, of the same denomination as the second term. VOL. I. K Example. — If 2lb. of sugar cost 19£d....
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The American Tutor's Assistant Revised, Or, A Compendious System of ...

Zachariah Jess - Arithmetic - 1824 - 224 pages
...dols. ' A " 5 ' 3 : 6 :: 9 : 1 8 more requiring more I 20 : 40 :: 3 : 10 less requiring less RULE. Multiply the second and third terms together, and...quotient will be the fourth term, or answer ; in the same name with the second. PROOF. Invert the question, beginning with the answer ; and the result will be...
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The Teachers' Assistant: Or a System of Practical Arithmetic

Stephen Pike - Arithmetic - 1824 - 212 pages
...THREE, IN VULGAR FRACTIONS. Prepare the given terms, if necessary, and state them as in whole numbers ; multiply the second and third terms together, and divide the product by the first. Or, Invert the dividing term, and multiply the three terms together, as in Multiplication. EXAMPLES....
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The New Federal Calculator, Or, Scholar's Assistant: Containing the Most ...

Thomas Tucker Smiley - Arithmetic - 1825 - 224 pages
...second terms to the same denomination, and to the lowest denomination mentioned in either oi them. 3. Multiply the second and third terms together, and divide the product by the first term; the result will be-tbe fourth term OF answer in the same denomination to which the third term...
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The Youth's Assistant in Theoretick and Practical Arithmetic

Zadock Thompson - Arithmetic - 1826 - 176 pages
...the same kind, the first term, and that which is of the same kind as the answer, the second term. 2.f Multiply the second and third terms together, and...the product by the first, the quotient will be the answer. EXAMPLE. — If 8lb. of sugar cost $1.00, what will 401b-. of sugar cost? "** " «: 1.00::...
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Syllabus of Philosophical Lectures, Given During Each Half Year: At Poplar ...

Poplar House Academy - 1826 - 100 pages
...necessary, to the same denomination, and the third to the lowest denomination mentioned in it. Then, multiply the second and third terms together, and divide the product by the first, and the quotient will be the answer, in the same denomination that the third term was reduced to ;...
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Pike's System of Arithmetic Abridged: To which are Added Appropriate ...

Nicolas Pike, Dudley Leavitt - Arithmetic - 1826 - 214 pages
...kind, the first term ; and that which is of the same name or kind with the answer, the second term. 2. Multiply the second and third terms together, and divide the product by the first term, and the quotient will be the fourth term, or answer. The notes under the general rule are applicable...
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