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Finding the Fourth Proportional to 1,249.14, 1,872.67 and 633.27

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Solution

The fourth proportional to 1,249.14, 1,872.67 and 633.27 is: 949.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.14 : 1,872.67 = 633.27 : x
  2. Step 2: Convert to fraction form
    1,249.14/1,872.67 = 633.27/x
  3. Step 3: Cross multiply
    1,249.14x = 1,872.67 × 633.27
  4. Step 4: Simplify right side
    1,249.14x = 1,185,905.73
  5. Step 5: Solve for x
    x = 1,185,905.73/1,249.14
  6. Step 6: Final answer
    x = 949.38

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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.