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Finding the Fourth Proportional to 763.97, 1,052.73 and 542.70

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Solution

The fourth proportional to 763.97, 1,052.73 and 542.70 is: 747.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.97 : 1,052.73 = 542.70 : x
  2. Step 2: Convert to fraction form
    763.97/1,052.73 = 542.70/x
  3. Step 3: Cross multiply
    763.97x = 1,052.73 × 542.70
  4. Step 4: Simplify right side
    763.97x = 571,316.57
  5. Step 5: Solve for x
    x = 571,316.57/763.97
  6. Step 6: Final answer
    x = 747.83

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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.