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Finding the Fourth Proportional to 915.30, 1,262.99 and 542.13

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Solution

The fourth proportional to 915.30, 1,262.99 and 542.13 is: 748.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.30 : 1,262.99 = 542.13 : x
  2. Step 2: Convert to fraction form
    915.30/1,262.99 = 542.13/x
  3. Step 3: Cross multiply
    915.30x = 1,262.99 × 542.13
  4. Step 4: Simplify right side
    915.30x = 684,706.12
  5. Step 5: Solve for x
    x = 684,706.12/915.30
  6. Step 6: Final answer
    x = 748.07

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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.