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Finding the Fourth Proportional to 1,584.24, 2,375.92 and 660.04

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Solution

The fourth proportional to 1,584.24, 2,375.92 and 660.04 is: 989.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.24 : 2,375.92 = 660.04 : x
  2. Step 2: Convert to fraction form
    1,584.24/2,375.92 = 660.04/x
  3. Step 3: Cross multiply
    1,584.24x = 2,375.92 × 660.04
  4. Step 4: Simplify right side
    1,584.24x = 1,568,202.24
  5. Step 5: Solve for x
    x = 1,568,202.24/1,584.24
  6. Step 6: Final answer
    x = 989.88

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