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Finding the Fourth Proportional to 712.20, 1,067.76 and 451.92

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Solution

The fourth proportional to 712.20, 1,067.76 and 451.92 is: 677.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.20 : 1,067.76 = 451.92 : x
  2. Step 2: Convert to fraction form
    712.20/1,067.76 = 451.92/x
  3. Step 3: Cross multiply
    712.20x = 1,067.76 × 451.92
  4. Step 4: Simplify right side
    712.20x = 482,542.10
  5. Step 5: Solve for x
    x = 482,542.10/712.20
  6. Step 6: Final answer
    x = 677.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.