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Finding the Fourth Proportional to 866.73, 1,196.16 and 680.56

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Solution

The fourth proportional to 866.73, 1,196.16 and 680.56 is: 939.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.73 : 1,196.16 = 680.56 : x
  2. Step 2: Convert to fraction form
    866.73/1,196.16 = 680.56/x
  3. Step 3: Cross multiply
    866.73x = 1,196.16 × 680.56
  4. Step 4: Simplify right side
    866.73x = 814,058.65
  5. Step 5: Solve for x
    x = 814,058.65/866.73
  6. Step 6: Final answer
    x = 939.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.