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Finding the Fourth Proportional to 781.28, 1,078.14 and 449.66

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Solution

The fourth proportional to 781.28, 1,078.14 and 449.66 is: 620.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.28 : 1,078.14 = 449.66 : x
  2. Step 2: Convert to fraction form
    781.28/1,078.14 = 449.66/x
  3. Step 3: Cross multiply
    781.28x = 1,078.14 × 449.66
  4. Step 4: Simplify right side
    781.28x = 484,796.43
  5. Step 5: Solve for x
    x = 484,796.43/781.28
  6. Step 6: Final answer
    x = 620.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.