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Finding the Fourth Proportional to 915.92, 1,263.86 and 542.88

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Solution

The fourth proportional to 915.92, 1,263.86 and 542.88 is: 749.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.92 : 1,263.86 = 542.88 : x
  2. Step 2: Convert to fraction form
    915.92/1,263.86 = 542.88/x
  3. Step 3: Cross multiply
    915.92x = 1,263.86 × 542.88
  4. Step 4: Simplify right side
    915.92x = 686,124.32
  5. Step 5: Solve for x
    x = 686,124.32/915.92
  6. Step 6: Final answer
    x = 749.11

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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.