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Finding the Fourth Proportional to 796.12, 1,099.26 and 516.56

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Solution

The fourth proportional to 796.12, 1,099.26 and 516.56 is: 713.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.12 : 1,099.26 = 516.56 : x
  2. Step 2: Convert to fraction form
    796.12/1,099.26 = 516.56/x
  3. Step 3: Cross multiply
    796.12x = 1,099.26 × 516.56
  4. Step 4: Simplify right side
    796.12x = 567,833.75
  5. Step 5: Solve for x
    x = 567,833.75/796.12
  6. Step 6: Final answer
    x = 713.25

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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.