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Finding the Fourth Proportional to 712.16, 1,063.14 and 680.64

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Solution

The fourth proportional to 712.16, 1,063.14 and 680.64 is: 1,016.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.16 : 1,063.14 = 680.64 : x
  2. Step 2: Convert to fraction form
    712.16/1,063.14 = 680.64/x
  3. Step 3: Cross multiply
    712.16x = 1,063.14 × 680.64
  4. Step 4: Simplify right side
    712.16x = 723,615.61
  5. Step 5: Solve for x
    x = 723,615.61/712.16
  6. Step 6: Final answer
    x = 1,016.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.