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Finding the Fourth Proportional to 1,249.52, 1,872.14 and 883.70

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Solution

The fourth proportional to 1,249.52, 1,872.14 and 883.70 is: 1,324.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.52 : 1,872.14 = 883.70 : x
  2. Step 2: Convert to fraction form
    1,249.52/1,872.14 = 883.70/x
  3. Step 3: Cross multiply
    1,249.52x = 1,872.14 × 883.70
  4. Step 4: Simplify right side
    1,249.52x = 1,654,410.12
  5. Step 5: Solve for x
    x = 1,654,410.12/1,249.52
  6. Step 6: Final answer
    x = 1,324.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.