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Finding the Fourth Proportional to 819.68, 1,227.40 and 644.82

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Solution

The fourth proportional to 819.68, 1,227.40 and 644.82 is: 965.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.68 : 1,227.40 = 644.82 : x
  2. Step 2: Convert to fraction form
    819.68/1,227.40 = 644.82/x
  3. Step 3: Cross multiply
    819.68x = 1,227.40 × 644.82
  4. Step 4: Simplify right side
    819.68x = 791,452.07
  5. Step 5: Solve for x
    x = 791,452.07/819.68
  6. Step 6: Final answer
    x = 965.56

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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.