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Finding the Fourth Proportional to 915.28, 1,262.50 and 542.12

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Solution

The fourth proportional to 915.28, 1,262.50 and 542.12 is: 747.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.28 : 1,262.50 = 542.12 : x
  2. Step 2: Convert to fraction form
    915.28/1,262.50 = 542.12/x
  3. Step 3: Cross multiply
    915.28x = 1,262.50 × 542.12
  4. Step 4: Simplify right side
    915.28x = 684,426.50
  5. Step 5: Solve for x
    x = 684,426.50/915.28
  6. Step 6: Final answer
    x = 747.78

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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.