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Finding the Fourth Proportional to 871.96, 1,202.96 and 498.87

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Solution

The fourth proportional to 871.96, 1,202.96 and 498.87 is: 688.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.96 : 1,202.96 = 498.87 : x
  2. Step 2: Convert to fraction form
    871.96/1,202.96 = 498.87/x
  3. Step 3: Cross multiply
    871.96x = 1,202.96 × 498.87
  4. Step 4: Simplify right side
    871.96x = 600,115.03
  5. Step 5: Solve for x
    x = 600,115.03/871.96
  6. Step 6: Final answer
    x = 688.24

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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.