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Finding the Fourth Proportional to 842.52, 1,265.26 and 478.02

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Solution

The fourth proportional to 842.52, 1,265.26 and 478.02 is: 717.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.52 : 1,265.26 = 478.02 : x
  2. Step 2: Convert to fraction form
    842.52/1,265.26 = 478.02/x
  3. Step 3: Cross multiply
    842.52x = 1,265.26 × 478.02
  4. Step 4: Simplify right side
    842.52x = 604,819.59
  5. Step 5: Solve for x
    x = 604,819.59/842.52
  6. Step 6: Final answer
    x = 717.87

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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.