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Finding the Fourth Proportional to 938.31, 1,294.56 and 545.46

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Solution

The fourth proportional to 938.31, 1,294.56 and 545.46 is: 752.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.31 : 1,294.56 = 545.46 : x
  2. Step 2: Convert to fraction form
    938.31/1,294.56 = 545.46/x
  3. Step 3: Cross multiply
    938.31x = 1,294.56 × 545.46
  4. Step 4: Simplify right side
    938.31x = 706,130.70
  5. Step 5: Solve for x
    x = 706,130.70/938.31
  6. Step 6: Final answer
    x = 752.56

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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.