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Finding the Fourth Proportional to 796.10, 1,195.92 and 565.52

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Solution

The fourth proportional to 796.10, 1,195.92 and 565.52 is: 849.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.10 : 1,195.92 = 565.52 : x
  2. Step 2: Convert to fraction form
    796.10/1,195.92 = 565.52/x
  3. Step 3: Cross multiply
    796.10x = 1,195.92 × 565.52
  4. Step 4: Simplify right side
    796.10x = 676,310.70
  5. Step 5: Solve for x
    x = 676,310.70/796.10
  6. Step 6: Final answer
    x = 849.54

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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.