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Finding the Fourth Proportional to 871.04, 1,201.77 and 516.96

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Solution

The fourth proportional to 871.04, 1,201.77 and 516.96 is: 713.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.04 : 1,201.77 = 516.96 : x
  2. Step 2: Convert to fraction form
    871.04/1,201.77 = 516.96/x
  3. Step 3: Cross multiply
    871.04x = 1,201.77 × 516.96
  4. Step 4: Simplify right side
    871.04x = 621,267.02
  5. Step 5: Solve for x
    x = 621,267.02/871.04
  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.