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Finding the Fourth Proportional to 1,249.38, 1,872.72 and 632.23

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Solution

The fourth proportional to 1,249.38, 1,872.72 and 632.23 is: 947.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.38 : 1,872.72 = 632.23 : x
  2. Step 2: Convert to fraction form
    1,249.38/1,872.72 = 632.23/x
  3. Step 3: Cross multiply
    1,249.38x = 1,872.72 × 632.23
  4. Step 4: Simplify right side
    1,249.38x = 1,183,985.08
  5. Step 5: Solve for x
    x = 1,183,985.08/1,249.38
  6. Step 6: Final answer
    x = 947.66

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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.