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Finding the Fourth Proportional to 712.54, 1,067.31 and 452.41

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Solution

The fourth proportional to 712.54, 1,067.31 and 452.41 is: 677.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.54 : 1,067.31 = 452.41 : x
  2. Step 2: Convert to fraction form
    712.54/1,067.31 = 452.41/x
  3. Step 3: Cross multiply
    712.54x = 1,067.31 × 452.41
  4. Step 4: Simplify right side
    712.54x = 482,860.75
  5. Step 5: Solve for x
    x = 482,860.75/712.54
  6. Step 6: Final answer
    x = 677.66

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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.