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Finding the Fourth Proportional to 721.65, 1,082.85 and 461.79

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Solution

The fourth proportional to 721.65, 1,082.85 and 461.79 is: 692.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.65 : 1,082.85 = 461.79 : x
  2. Step 2: Convert to fraction form
    721.65/1,082.85 = 461.79/x
  3. Step 3: Cross multiply
    721.65x = 1,082.85 × 461.79
  4. Step 4: Simplify right side
    721.65x = 500,049.30
  5. Step 5: Solve for x
    x = 500,049.30/721.65
  6. Step 6: Final answer
    x = 692.92

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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.