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Finding the Fourth Proportional to 1,249.20, 1,723.04 and 1,027.76

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Solution

The fourth proportional to 1,249.20, 1,723.04 and 1,027.76 is: 1,417.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.20 : 1,723.04 = 1,027.76 : x
  2. Step 2: Convert to fraction form
    1,249.20/1,723.04 = 1,027.76/x
  3. Step 3: Cross multiply
    1,249.20x = 1,723.04 × 1,027.76
  4. Step 4: Simplify right side
    1,249.20x = 1,770,871.59
  5. Step 5: Solve for x
    x = 1,770,871.59/1,249.20
  6. Step 6: Final answer
    x = 1,417.60

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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.