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Finding the Fourth Proportional to 712.39, 1,067.21 and 382.52

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Solution

The fourth proportional to 712.39, 1,067.21 and 382.52 is: 573.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.39 : 1,067.21 = 382.52 : x
  2. Step 2: Convert to fraction form
    712.39/1,067.21 = 382.52/x
  3. Step 3: Cross multiply
    712.39x = 1,067.21 × 382.52
  4. Step 4: Simplify right side
    712.39x = 408,224.79
  5. Step 5: Solve for x
    x = 408,224.79/712.39
  6. Step 6: Final answer
    x = 573.04

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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.