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Finding the Fourth Proportional to 824.97, 1,231.56 and 796.13

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Solution

The fourth proportional to 824.97, 1,231.56 and 796.13 is: 1,188.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.97 : 1,231.56 = 796.13 : x
  2. Step 2: Convert to fraction form
    824.97/1,231.56 = 796.13/x
  3. Step 3: Cross multiply
    824.97x = 1,231.56 × 796.13
  4. Step 4: Simplify right side
    824.97x = 980,487.93
  5. Step 5: Solve for x
    x = 980,487.93/824.97
  6. Step 6: Final answer
    x = 1,188.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.