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Finding the Fourth Proportional to 871.04, 1,202.21 and 516.83

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Solution

The fourth proportional to 871.04, 1,202.21 and 516.83 is: 713.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.04 : 1,202.21 = 516.83 : x
  2. Step 2: Convert to fraction form
    871.04/1,202.21 = 516.83/x
  3. Step 3: Cross multiply
    871.04x = 1,202.21 × 516.83
  4. Step 4: Simplify right side
    871.04x = 621,329.60
  5. Step 5: Solve for x
    x = 621,329.60/871.04
  6. Step 6: Final answer
    x = 713.32

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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.