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Finding the Fourth Proportional to 915.24, 1,262.76 and 542.04

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Solution

The fourth proportional to 915.24, 1,262.76 and 542.04 is: 747.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.24 : 1,262.76 = 542.04 : x
  2. Step 2: Convert to fraction form
    915.24/1,262.76 = 542.04/x
  3. Step 3: Cross multiply
    915.24x = 1,262.76 × 542.04
  4. Step 4: Simplify right side
    915.24x = 684,466.43
  5. Step 5: Solve for x
    x = 684,466.43/915.24
  6. Step 6: Final answer
    x = 747.85

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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.