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Finding the Fourth Proportional to 871.21, 1,202.16 and 498.14

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Solution

The fourth proportional to 871.21, 1,202.16 and 498.14 is: 687.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.21 : 1,202.16 = 498.14 : x
  2. Step 2: Convert to fraction form
    871.21/1,202.16 = 498.14/x
  3. Step 3: Cross multiply
    871.21x = 1,202.16 × 498.14
  4. Step 4: Simplify right side
    871.21x = 598,843.98
  5. Step 5: Solve for x
    x = 598,843.98/871.21
  6. Step 6: Final answer
    x = 687.37

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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.