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Finding the Fourth Proportional to 914.88, 1,262.86 and 542

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Solution

The fourth proportional to 914.88, 1,262.86 and 542 is: 748.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.88 : 1,262.86 = 542 : x
  2. Step 2: Convert to fraction form
    914.88/1,262.86 = 542/x
  3. Step 3: Cross multiply
    914.88x = 1,262.86 × 542
  4. Step 4: Simplify right side
    914.88x = 684,470.12
  5. Step 5: Solve for x
    x = 684,470.12/914.88
  6. Step 6: Final answer
    x = 748.15

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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.