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Finding the Fourth Proportional to 965.97, 1,447.83 and 819.27

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Solution

The fourth proportional to 965.97, 1,447.83 and 819.27 is: 1,227.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.97 : 1,447.83 = 819.27 : x
  2. Step 2: Convert to fraction form
    965.97/1,447.83 = 819.27/x
  3. Step 3: Cross multiply
    965.97x = 1,447.83 × 819.27
  4. Step 4: Simplify right side
    965.97x = 1,186,163.68
  5. Step 5: Solve for x
    x = 1,186,163.68/965.97
  6. Step 6: Final answer
    x = 1,227.95

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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.