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Finding the Fourth Proportional to 866.16, 1,299.24 and 747.24

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Solution

The fourth proportional to 866.16, 1,299.24 and 747.24 is: 1,120.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.16 : 1,299.24 = 747.24 : x
  2. Step 2: Convert to fraction form
    866.16/1,299.24 = 747.24/x
  3. Step 3: Cross multiply
    866.16x = 1,299.24 × 747.24
  4. Step 4: Simplify right side
    866.16x = 970,844.10
  5. Step 5: Solve for x
    x = 970,844.10/866.16
  6. Step 6: Final answer
    x = 1,120.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.