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Finding the Fourth Proportional to 1,078.32, 1,614.72 and 712.56

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Solution

The fourth proportional to 1,078.32, 1,614.72 and 712.56 is: 1,067.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.32 : 1,614.72 = 712.56 : x
  2. Step 2: Convert to fraction form
    1,078.32/1,614.72 = 712.56/x
  3. Step 3: Cross multiply
    1,078.32x = 1,614.72 × 712.56
  4. Step 4: Simplify right side
    1,078.32x = 1,150,584.88
  5. Step 5: Solve for x
    x = 1,150,584.88/1,078.32
  6. Step 6: Final answer
    x = 1,067.02

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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.