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Finding the Fourth Proportional to 796.69, 1,098.59 and 516.93

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Solution

The fourth proportional to 796.69, 1,098.59 and 516.93 is: 712.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.69 : 1,098.59 = 516.93 : x
  2. Step 2: Convert to fraction form
    796.69/1,098.59 = 516.93/x
  3. Step 3: Cross multiply
    796.69x = 1,098.59 × 516.93
  4. Step 4: Simplify right side
    796.69x = 567,894.13
  5. Step 5: Solve for x
    x = 567,894.13/796.69
  6. Step 6: Final answer
    x = 712.82

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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.