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Finding the Fourth Proportional to 1,243.88, 1,863.12 and 809.72

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Solution

The fourth proportional to 1,243.88, 1,863.12 and 809.72 is: 1,212.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.88 : 1,863.12 = 809.72 : x
  2. Step 2: Convert to fraction form
    1,243.88/1,863.12 = 809.72/x
  3. Step 3: Cross multiply
    1,243.88x = 1,863.12 × 809.72
  4. Step 4: Simplify right side
    1,243.88x = 1,508,605.53
  5. Step 5: Solve for x
    x = 1,508,605.53/1,243.88
  6. Step 6: Final answer
    x = 1,212.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.