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Finding the Fourth Proportional to 723.36, 1,082.28 and 398.96

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Solution

The fourth proportional to 723.36, 1,082.28 and 398.96 is: 596.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.36 : 1,082.28 = 398.96 : x
  2. Step 2: Convert to fraction form
    723.36/1,082.28 = 398.96/x
  3. Step 3: Cross multiply
    723.36x = 1,082.28 × 398.96
  4. Step 4: Simplify right side
    723.36x = 431,786.43
  5. Step 5: Solve for x
    x = 431,786.43/723.36
  6. Step 6: Final answer
    x = 596.92

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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.