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Finding the Fourth Proportional to 721.62, 1,082.43 and 259.37

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Solution

The fourth proportional to 721.62, 1,082.43 and 259.37 is: 389.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.62 : 1,082.43 = 259.37 : x
  2. Step 2: Convert to fraction form
    721.62/1,082.43 = 259.37/x
  3. Step 3: Cross multiply
    721.62x = 1,082.43 × 259.37
  4. Step 4: Simplify right side
    721.62x = 280,744.46
  5. Step 5: Solve for x
    x = 280,744.46/721.62
  6. Step 6: Final answer
    x = 389.05

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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.