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Finding the Fourth Proportional to 844.31, 1,268.45 and 797.69

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Solution

The fourth proportional to 844.31, 1,268.45 and 797.69 is: 1,198.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.31 : 1,268.45 = 797.69 : x
  2. Step 2: Convert to fraction form
    844.31/1,268.45 = 797.69/x
  3. Step 3: Cross multiply
    844.31x = 1,268.45 × 797.69
  4. Step 4: Simplify right side
    844.31x = 1,011,819.55
  5. Step 5: Solve for x
    x = 1,011,819.55/844.31
  6. Step 6: Final answer
    x = 1,198.41

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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.