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Finding the Fourth Proportional to 866.56, 1,195.68 and 742

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Solution

The fourth proportional to 866.56, 1,195.68 and 742 is: 1,023.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.56 : 1,195.68 = 742 : x
  2. Step 2: Convert to fraction form
    866.56/1,195.68 = 742/x
  3. Step 3: Cross multiply
    866.56x = 1,195.68 × 742
  4. Step 4: Simplify right side
    866.56x = 887,194.56
  5. Step 5: Solve for x
    x = 887,194.56/866.56
  6. Step 6: Final answer
    x = 1,023.81

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Why These Related Problems?

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