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Finding the Fourth Proportional to 680.70, 944.17 and 656.11

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Solution

The fourth proportional to 680.70, 944.17 and 656.11 is: 910.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.70 : 944.17 = 656.11 : x
  2. Step 2: Convert to fraction form
    680.70/944.17 = 656.11/x
  3. Step 3: Cross multiply
    680.70x = 944.17 × 656.11
  4. Step 4: Simplify right side
    680.70x = 619,479.38
  5. Step 5: Solve for x
    x = 619,479.38/680.70
  6. Step 6: Final answer
    x = 910.06

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.