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Finding the Fourth Proportional to 796.80, 1,098.36 and 516.99

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Solution

The fourth proportional to 796.80, 1,098.36 and 516.99 is: 712.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.80 : 1,098.36 = 516.99 : x
  2. Step 2: Convert to fraction form
    796.80/1,098.36 = 516.99/x
  3. Step 3: Cross multiply
    796.80x = 1,098.36 × 516.99
  4. Step 4: Simplify right side
    796.80x = 567,841.14
  5. Step 5: Solve for x
    x = 567,841.14/796.80
  6. Step 6: Final answer
    x = 712.65

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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.