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Finding the Fourth Proportional to 871.63, 1,202.31 and 517.31

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Solution

The fourth proportional to 871.63, 1,202.31 and 517.31 is: 713.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.63 : 1,202.31 = 517.31 : x
  2. Step 2: Convert to fraction form
    871.63/1,202.31 = 517.31/x
  3. Step 3: Cross multiply
    871.63x = 1,202.31 × 517.31
  4. Step 4: Simplify right side
    871.63x = 621,965.48
  5. Step 5: Solve for x
    x = 621,965.48/871.63
  6. Step 6: Final answer
    x = 713.57

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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.