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Finding the Fourth Proportional to 796.40, 1,099.68 and 516.80

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Solution

The fourth proportional to 796.40, 1,099.68 and 516.80 is: 713.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.40 : 1,099.68 = 516.80 : x
  2. Step 2: Convert to fraction form
    796.40/1,099.68 = 516.80/x
  3. Step 3: Cross multiply
    796.40x = 1,099.68 × 516.80
  4. Step 4: Simplify right side
    796.40x = 568,314.62
  5. Step 5: Solve for x
    x = 568,314.62/796.40
  6. Step 6: Final answer
    x = 713.60

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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.