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Finding the Fourth Proportional to 1,344.38, 2,015.55 and 727.97

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Solution

The fourth proportional to 1,344.38, 2,015.55 and 727.97 is: 1,091.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.38 : 2,015.55 = 727.97 : x
  2. Step 2: Convert to fraction form
    1,344.38/2,015.55 = 727.97/x
  3. Step 3: Cross multiply
    1,344.38x = 2,015.55 × 727.97
  4. Step 4: Simplify right side
    1,344.38x = 1,467,249.86
  5. Step 5: Solve for x
    x = 1,467,249.86/1,344.38
  6. Step 6: Final answer
    x = 1,091.40

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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.