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Finding the Fourth Proportional to 871.48, 1,202.64 and 517.42

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Solution

The fourth proportional to 871.48, 1,202.64 and 517.42 is: 714.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.48 : 1,202.64 = 517.42 : x
  2. Step 2: Convert to fraction form
    871.48/1,202.64 = 517.42/x
  3. Step 3: Cross multiply
    871.48x = 1,202.64 × 517.42
  4. Step 4: Simplify right side
    871.48x = 622,269.99
  5. Step 5: Solve for x
    x = 622,269.99/871.48
  6. Step 6: Final answer
    x = 714.04

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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.