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Finding the Fourth Proportional to 712.60, 1,068.90 and 387.28

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Solution

The fourth proportional to 712.60, 1,068.90 and 387.28 is: 580.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.60 : 1,068.90 = 387.28 : x
  2. Step 2: Convert to fraction form
    712.60/1,068.90 = 387.28/x
  3. Step 3: Cross multiply
    712.60x = 1,068.90 × 387.28
  4. Step 4: Simplify right side
    712.60x = 413,963.48
  5. Step 5: Solve for x
    x = 413,963.48/712.60
  6. Step 6: Final answer
    x = 580.92

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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.