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Finding the Fourth Proportional to 721.22, 1,082.36 and 474.42

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Solution

The fourth proportional to 721.22, 1,082.36 and 474.42 is: 711.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.22 : 1,082.36 = 474.42 : x
  2. Step 2: Convert to fraction form
    721.22/1,082.36 = 474.42/x
  3. Step 3: Cross multiply
    721.22x = 1,082.36 × 474.42
  4. Step 4: Simplify right side
    721.22x = 513,490.86
  5. Step 5: Solve for x
    x = 513,490.86/721.22
  6. Step 6: Final answer
    x = 711.98

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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.