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Finding the Fourth Proportional to 1,244.92, 1,867.66 and 379.24

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Solution

The fourth proportional to 1,244.92, 1,867.66 and 379.24 is: 568.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.92 : 1,867.66 = 379.24 : x
  2. Step 2: Convert to fraction form
    1,244.92/1,867.66 = 379.24/x
  3. Step 3: Cross multiply
    1,244.92x = 1,867.66 × 379.24
  4. Step 4: Simplify right side
    1,244.92x = 708,291.38
  5. Step 5: Solve for x
    x = 708,291.38/1,244.92
  6. Step 6: Final answer
    x = 568.95

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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.