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Finding the Fourth Proportional to 1,249.36, 1,731.41 and 1,231.74

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Solution

The fourth proportional to 1,249.36, 1,731.41 and 1,231.74 is: 1,706.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.36 : 1,731.41 = 1,231.74 : x
  2. Step 2: Convert to fraction form
    1,249.36/1,731.41 = 1,231.74/x
  3. Step 3: Cross multiply
    1,249.36x = 1,731.41 × 1,231.74
  4. Step 4: Simplify right side
    1,249.36x = 2,132,640.79
  5. Step 5: Solve for x
    x = 2,132,640.79/1,249.36
  6. Step 6: Final answer
    x = 1,706.99

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.