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Finding the Fourth Proportional to 1,243.89, 1,865.86 and 422.17

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Solution

The fourth proportional to 1,243.89, 1,865.86 and 422.17 is: 633.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.89 : 1,865.86 = 422.17 : x
  2. Step 2: Convert to fraction form
    1,243.89/1,865.86 = 422.17/x
  3. Step 3: Cross multiply
    1,243.89x = 1,865.86 × 422.17
  4. Step 4: Simplify right side
    1,243.89x = 787,704.40
  5. Step 5: Solve for x
    x = 787,704.40/1,243.89
  6. Step 6: Final answer
    x = 633.26

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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.