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Finding the Fourth Proportional to 721.32, 1,082.34 and 461.28

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Solution

The fourth proportional to 721.32, 1,082.34 and 461.28 is: 692.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.32 : 1,082.34 = 461.28 : x
  2. Step 2: Convert to fraction form
    721.32/1,082.34 = 461.28/x
  3. Step 3: Cross multiply
    721.32x = 1,082.34 × 461.28
  4. Step 4: Simplify right side
    721.32x = 499,261.80
  5. Step 5: Solve for x
    x = 499,261.80/721.32
  6. Step 6: Final answer
    x = 692.15

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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.