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Finding the Fourth Proportional to 871.16, 1,202.29 and 498.20

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Solution

The fourth proportional to 871.16, 1,202.29 and 498.20 is: 687.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.16 : 1,202.29 = 498.20 : x
  2. Step 2: Convert to fraction form
    871.16/1,202.29 = 498.20/x
  3. Step 3: Cross multiply
    871.16x = 1,202.29 × 498.20
  4. Step 4: Simplify right side
    871.16x = 598,973.62
  5. Step 5: Solve for x
    x = 598,973.62/871.16
  6. Step 6: Final answer
    x = 687.56

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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.