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Finding the Fourth Proportional to 796.73, 1,098.77 and 516.67

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Solution

The fourth proportional to 796.73, 1,098.77 and 516.67 is: 712.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.73 : 1,098.77 = 516.67 : x
  2. Step 2: Convert to fraction form
    796.73/1,098.77 = 516.67/x
  3. Step 3: Cross multiply
    796.73x = 1,098.77 × 516.67
  4. Step 4: Simplify right side
    796.73x = 567,701.50
  5. Step 5: Solve for x
    x = 567,701.50/796.73
  6. Step 6: Final answer
    x = 712.54

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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.