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Finding the Fourth Proportional to 871.13, 1,201.92 and 516.95

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Solution

The fourth proportional to 871.13, 1,201.92 and 516.95 is: 713.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.13 : 1,201.92 = 516.95 : x
  2. Step 2: Convert to fraction form
    871.13/1,201.92 = 516.95/x
  3. Step 3: Cross multiply
    871.13x = 1,201.92 × 516.95
  4. Step 4: Simplify right side
    871.13x = 621,326.53
  5. Step 5: Solve for x
    x = 621,326.53/871.13
  6. Step 6: Final answer
    x = 713.25

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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.