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Finding the Fourth Proportional to 712.85, 1,068.74 and 481.16

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Solution

The fourth proportional to 712.85, 1,068.74 and 481.16 is: 721.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.85 : 1,068.74 = 481.16 : x
  2. Step 2: Convert to fraction form
    712.85/1,068.74 = 481.16/x
  3. Step 3: Cross multiply
    712.85x = 1,068.74 × 481.16
  4. Step 4: Simplify right side
    712.85x = 514,227.19
  5. Step 5: Solve for x
    x = 514,227.19/712.85
  6. Step 6: Final answer
    x = 721.37

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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.