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Finding the Fourth Proportional to 721.64, 1,082.50 and 259.54

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Solution

The fourth proportional to 721.64, 1,082.50 and 259.54 is: 389.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.64 : 1,082.50 = 259.54 : x
  2. Step 2: Convert to fraction form
    721.64/1,082.50 = 259.54/x
  3. Step 3: Cross multiply
    721.64x = 1,082.50 × 259.54
  4. Step 4: Simplify right side
    721.64x = 280,948.69
  5. Step 5: Solve for x
    x = 280,948.69/721.64
  6. Step 6: Final answer
    x = 389.32

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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.