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Finding the Fourth Proportional to 796.42, 1,098.03 and 516.16

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Solution

The fourth proportional to 796.42, 1,098.03 and 516.16 is: 711.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.42 : 1,098.03 = 516.16 : x
  2. Step 2: Convert to fraction form
    796.42/1,098.03 = 516.16/x
  3. Step 3: Cross multiply
    796.42x = 1,098.03 × 516.16
  4. Step 4: Simplify right side
    796.42x = 566,759.16
  5. Step 5: Solve for x
    x = 566,759.16/796.42
  6. Step 6: Final answer
    x = 711.63

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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.