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Finding the Fourth Proportional to 732.56, 1,010.66 and 522.76

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Solution

The fourth proportional to 732.56, 1,010.66 and 522.76 is: 721.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.56 : 1,010.66 = 522.76 : x
  2. Step 2: Convert to fraction form
    732.56/1,010.66 = 522.76/x
  3. Step 3: Cross multiply
    732.56x = 1,010.66 × 522.76
  4. Step 4: Simplify right side
    732.56x = 528,332.62
  5. Step 5: Solve for x
    x = 528,332.62/732.56
  6. Step 6: Final answer
    x = 721.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.