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Finding the Fourth Proportional to 710.87, 1,067.22 and 480.78

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Solution

The fourth proportional to 710.87, 1,067.22 and 480.78 is: 721.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.87 : 1,067.22 = 480.78 : x
  2. Step 2: Convert to fraction form
    710.87/1,067.22 = 480.78/x
  3. Step 3: Cross multiply
    710.87x = 1,067.22 × 480.78
  4. Step 4: Simplify right side
    710.87x = 513,098.03
  5. Step 5: Solve for x
    x = 513,098.03/710.87
  6. Step 6: Final answer
    x = 721.79

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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.