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Finding the Fourth Proportional to 796.02, 1,098.14 and 516.35

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Solution

The fourth proportional to 796.02, 1,098.14 and 516.35 is: 712.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.02 : 1,098.14 = 516.35 : x
  2. Step 2: Convert to fraction form
    796.02/1,098.14 = 516.35/x
  3. Step 3: Cross multiply
    796.02x = 1,098.14 × 516.35
  4. Step 4: Simplify right side
    796.02x = 567,016.52
  5. Step 5: Solve for x
    x = 567,016.52/796.02
  6. Step 6: Final answer
    x = 712.31

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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.