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Finding the Fourth Proportional to 713.16, 1,067.52 and 387.54

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Solution

The fourth proportional to 713.16, 1,067.52 and 387.54 is: 580.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.16 : 1,067.52 = 387.54 : x
  2. Step 2: Convert to fraction form
    713.16/1,067.52 = 387.54/x
  3. Step 3: Cross multiply
    713.16x = 1,067.52 × 387.54
  4. Step 4: Simplify right side
    713.16x = 413,706.70
  5. Step 5: Solve for x
    x = 413,706.70/713.16
  6. Step 6: Final answer
    x = 580.10

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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.