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Finding the Fourth Proportional to 763.27, 1,052.24 and 542.14

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Solution

The fourth proportional to 763.27, 1,052.24 and 542.14 is: 747.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.27 : 1,052.24 = 542.14 : x
  2. Step 2: Convert to fraction form
    763.27/1,052.24 = 542.14/x
  3. Step 3: Cross multiply
    763.27x = 1,052.24 × 542.14
  4. Step 4: Simplify right side
    763.27x = 570,461.39
  5. Step 5: Solve for x
    x = 570,461.39/763.27
  6. Step 6: Final answer
    x = 747.39

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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.