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Finding the Fourth Proportional to 961.52, 1,327.20 and 662.92

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Solution

The fourth proportional to 961.52, 1,327.20 and 662.92 is: 915.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.52 : 1,327.20 = 662.92 : x
  2. Step 2: Convert to fraction form
    961.52/1,327.20 = 662.92/x
  3. Step 3: Cross multiply
    961.52x = 1,327.20 × 662.92
  4. Step 4: Simplify right side
    961.52x = 879,827.42
  5. Step 5: Solve for x
    x = 879,827.42/961.52
  6. Step 6: Final answer
    x = 915.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.