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Finding the Fourth Proportional to 796.67, 1,098.37 and 516.41

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Solution

The fourth proportional to 796.67, 1,098.37 and 516.41 is: 711.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.67 : 1,098.37 = 516.41 : x
  2. Step 2: Convert to fraction form
    796.67/1,098.37 = 516.41/x
  3. Step 3: Cross multiply
    796.67x = 1,098.37 × 516.41
  4. Step 4: Simplify right side
    796.67x = 567,209.25
  5. Step 5: Solve for x
    x = 567,209.25/796.67
  6. Step 6: Final answer
    x = 711.98

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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.