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Finding the Fourth Proportional to 781.55, 1,078.91 and 449.91

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Solution

The fourth proportional to 781.55, 1,078.91 and 449.91 is: 621.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.55 : 1,078.91 = 449.91 : x
  2. Step 2: Convert to fraction form
    781.55/1,078.91 = 449.91/x
  3. Step 3: Cross multiply
    781.55x = 1,078.91 × 449.91
  4. Step 4: Simplify right side
    781.55x = 485,410.15
  5. Step 5: Solve for x
    x = 485,410.15/781.55
  6. Step 6: Final answer
    x = 621.09

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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.