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Finding the Fourth Proportional to 812, 1,217.28 and 487.52

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Solution

The fourth proportional to 812, 1,217.28 and 487.52 is: 730.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    812 : 1,217.28 = 487.52 : x
  2. Step 2: Convert to fraction form
    812/1,217.28 = 487.52/x
  3. Step 3: Cross multiply
    812x = 1,217.28 × 487.52
  4. Step 4: Simplify right side
    812x = 593,448.35
  5. Step 5: Solve for x
    x = 593,448.35/812
  6. Step 6: Final answer
    x = 730.85

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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.