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Finding the Fourth Proportional to 720.12, 1,082.25 and 355.17

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Solution

The fourth proportional to 720.12, 1,082.25 and 355.17 is: 533.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.12 : 1,082.25 = 355.17 : x
  2. Step 2: Convert to fraction form
    720.12/1,082.25 = 355.17/x
  3. Step 3: Cross multiply
    720.12x = 1,082.25 × 355.17
  4. Step 4: Simplify right side
    720.12x = 384,382.73
  5. Step 5: Solve for x
    x = 384,382.73/720.12
  6. Step 6: Final answer
    x = 533.78

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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.