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Finding the Fourth Proportional to 963.92, 1,445.85 and 270.59

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Solution

The fourth proportional to 963.92, 1,445.85 and 270.59 is: 405.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.92 : 1,445.85 = 270.59 : x
  2. Step 2: Convert to fraction form
    963.92/1,445.85 = 270.59/x
  3. Step 3: Cross multiply
    963.92x = 1,445.85 × 270.59
  4. Step 4: Simplify right side
    963.92x = 391,229.73
  5. Step 5: Solve for x
    x = 391,229.73/963.92
  6. Step 6: Final answer
    x = 405.88

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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.