Finding the Fourth Proportional to 823.50, 1,136.43 and 513
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Solution
The fourth proportional to 823.50, 1,136.43 and 513 is: 707.94
Step by Step Solution
- Step 1: Write the proportion equation
823.50 : 1,136.43 = 513 : x - Step 2: Convert to fraction form
823.50/1,136.43 = 513/x - Step 3: Cross multiply
823.50x = 1,136.43 × 513 - Step 4: Simplify right side
823.50x = 582,988.59 - Step 5: Solve for x
x = 582,988.59/823.50 - Step 6: Final answer
x = 707.94
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.