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Finding the Fourth Proportional to 1,244.71, 1,867.27 and 422.90

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Solution

The fourth proportional to 1,244.71, 1,867.27 and 422.90 is: 634.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.71 : 1,867.27 = 422.90 : x
  2. Step 2: Convert to fraction form
    1,244.71/1,867.27 = 422.90/x
  3. Step 3: Cross multiply
    1,244.71x = 1,867.27 × 422.90
  4. Step 4: Simplify right side
    1,244.71x = 789,658.09
  5. Step 5: Solve for x
    x = 789,658.09/1,244.71
  6. Step 6: Final answer
    x = 634.41

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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.