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Finding the Fourth Proportional to 871.74, 1,202.57 and 517.50

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Solution

The fourth proportional to 871.74, 1,202.57 and 517.50 is: 713.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.74 : 1,202.57 = 517.50 : x
  2. Step 2: Convert to fraction form
    871.74/1,202.57 = 517.50/x
  3. Step 3: Cross multiply
    871.74x = 1,202.57 × 517.50
  4. Step 4: Simplify right side
    871.74x = 622,329.33
  5. Step 5: Solve for x
    x = 622,329.33/871.74
  6. Step 6: Final answer
    x = 713.89

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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.