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Finding the Fourth Proportional to 862.26, 1,294.68 and 497.76

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Solution

The fourth proportional to 862.26, 1,294.68 and 497.76 is: 747.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.26 : 1,294.68 = 497.76 : x
  2. Step 2: Convert to fraction form
    862.26/1,294.68 = 497.76/x
  3. Step 3: Cross multiply
    862.26x = 1,294.68 × 497.76
  4. Step 4: Simplify right side
    862.26x = 644,439.92
  5. Step 5: Solve for x
    x = 644,439.92/862.26
  6. Step 6: Final answer
    x = 747.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.