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Finding the Fourth Proportional to 799.26, 1,103.46 and 563.97

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Solution

The fourth proportional to 799.26, 1,103.46 and 563.97 is: 778.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.26 : 1,103.46 = 563.97 : x
  2. Step 2: Convert to fraction form
    799.26/1,103.46 = 563.97/x
  3. Step 3: Cross multiply
    799.26x = 1,103.46 × 563.97
  4. Step 4: Simplify right side
    799.26x = 622,318.34
  5. Step 5: Solve for x
    x = 622,318.34/799.26
  6. Step 6: Final answer
    x = 778.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.