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Finding the Fourth Proportional to 796.59, 1,099.06 and 516.83

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Solution

The fourth proportional to 796.59, 1,099.06 and 516.83 is: 713.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.59 : 1,099.06 = 516.83 : x
  2. Step 2: Convert to fraction form
    796.59/1,099.06 = 516.83/x
  3. Step 3: Cross multiply
    796.59x = 1,099.06 × 516.83
  4. Step 4: Simplify right side
    796.59x = 568,027.18
  5. Step 5: Solve for x
    x = 568,027.18/796.59
  6. Step 6: Final answer
    x = 713.08

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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.