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Finding the Fourth Proportional to 1,244.89, 1,867.36 and 423.17

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Solution

The fourth proportional to 1,244.89, 1,867.36 and 423.17 is: 634.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.89 : 1,867.36 = 423.17 : x
  2. Step 2: Convert to fraction form
    1,244.89/1,867.36 = 423.17/x
  3. Step 3: Cross multiply
    1,244.89x = 1,867.36 × 423.17
  4. Step 4: Simplify right side
    1,244.89x = 790,210.73
  5. Step 5: Solve for x
    x = 790,210.73/1,244.89
  6. Step 6: Final answer
    x = 634.76

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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.