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Finding the Fourth Proportional to 1,249.83, 1,872.72 and 761.40

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Solution

The fourth proportional to 1,249.83, 1,872.72 and 761.40 is: 1,140.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.83 : 1,872.72 = 761.40 : x
  2. Step 2: Convert to fraction form
    1,249.83/1,872.72 = 761.40/x
  3. Step 3: Cross multiply
    1,249.83x = 1,872.72 × 761.40
  4. Step 4: Simplify right side
    1,249.83x = 1,425,889.01
  5. Step 5: Solve for x
    x = 1,425,889.01/1,249.83
  6. Step 6: Final answer
    x = 1,140.87

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