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Finding the Fourth Proportional to 1,028.32, 1,542.57 and 411.88

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Solution

The fourth proportional to 1,028.32, 1,542.57 and 411.88 is: 617.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.32 : 1,542.57 = 411.88 : x
  2. Step 2: Convert to fraction form
    1,028.32/1,542.57 = 411.88/x
  3. Step 3: Cross multiply
    1,028.32x = 1,542.57 × 411.88
  4. Step 4: Simplify right side
    1,028.32x = 635,353.73
  5. Step 5: Solve for x
    x = 635,353.73/1,028.32
  6. Step 6: Final answer
    x = 617.86

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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.