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Finding the Fourth Proportional to 1,249.57, 1,731.79 and 1,230.85

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Solution

The fourth proportional to 1,249.57, 1,731.79 and 1,230.85 is: 1,705.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.57 : 1,731.79 = 1,230.85 : x
  2. Step 2: Convert to fraction form
    1,249.57/1,731.79 = 1,230.85/x
  3. Step 3: Cross multiply
    1,249.57x = 1,731.79 × 1,230.85
  4. Step 4: Simplify right side
    1,249.57x = 2,131,573.72
  5. Step 5: Solve for x
    x = 2,131,573.72/1,249.57
  6. Step 6: Final answer
    x = 1,705.85

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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.