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Finding the Fourth Proportional to 1,244.70, 1,867.23 and 422.73

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Solution

The fourth proportional to 1,244.70, 1,867.23 and 422.73 is: 634.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.70 : 1,867.23 = 422.73 : x
  2. Step 2: Convert to fraction form
    1,244.70/1,867.23 = 422.73/x
  3. Step 3: Cross multiply
    1,244.70x = 1,867.23 × 422.73
  4. Step 4: Simplify right side
    1,244.70x = 789,334.14
  5. Step 5: Solve for x
    x = 789,334.14/1,244.70
  6. Step 6: Final answer
    x = 634.16

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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.