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Finding the Fourth Proportional to 1,147.78, 1,584.46 and 868.06

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Solution

The fourth proportional to 1,147.78, 1,584.46 and 868.06 is: 1,198.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.78 : 1,584.46 = 868.06 : x
  2. Step 2: Convert to fraction form
    1,147.78/1,584.46 = 868.06/x
  3. Step 3: Cross multiply
    1,147.78x = 1,584.46 × 868.06
  4. Step 4: Simplify right side
    1,147.78x = 1,375,406.35
  5. Step 5: Solve for x
    x = 1,375,406.35/1,147.78
  6. Step 6: Final answer
    x = 1,198.32

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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.