Question

solve for d in the propor
\frac{464}{d} = \frac{592}{703}

d = \square

submit

Explanation:

Step1: Cross - multiply the proportion

Given the proportion \(\frac{464}{d}=\frac{592}{703}\), by the cross - multiplication property of proportions (if \(\frac{a}{b}=\frac{c}{d}\), then \(a\times d = b\times c\)), we get \(464\times703=592\times d\).

Step2: Calculate the left - hand side

First, calculate \(464\times703\). \(464\times703 = 464\times(700 + 3)=464\times700+464\times3=324800+1392 = 326192\). So the equation becomes \(326192 = 592d\).

Step3: Solve for \(d\)

To solve for \(d\), divide both sides of the equation \(326192 = 592d\) by 592. So \(d=\frac{326192}{592}\).
Now, simplify \(\frac{326192}{592}\). Divide 326192 by 592: \(326192\div592 = 551\).

Answer:

\(d = 551\)