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Finding the Fourth Proportional to 762.56, 1,142.97 and 502.53

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Solution

The fourth proportional to 762.56, 1,142.97 and 502.53 is: 753.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.56 : 1,142.97 = 502.53 : x
  2. Step 2: Convert to fraction form
    762.56/1,142.97 = 502.53/x
  3. Step 3: Cross multiply
    762.56x = 1,142.97 × 502.53
  4. Step 4: Simplify right side
    762.56x = 574,376.71
  5. Step 5: Solve for x
    x = 574,376.71/762.56
  6. Step 6: Final answer
    x = 753.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.