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Finding the Fourth Proportional to 871.62, 1,202.84 and 498.70

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Solution

The fourth proportional to 871.62, 1,202.84 and 498.70 is: 688.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.62 : 1,202.84 = 498.70 : x
  2. Step 2: Convert to fraction form
    871.62/1,202.84 = 498.70/x
  3. Step 3: Cross multiply
    871.62x = 1,202.84 × 498.70
  4. Step 4: Simplify right side
    871.62x = 599,856.31
  5. Step 5: Solve for x
    x = 599,856.31/871.62
  6. Step 6: Final answer
    x = 688.21

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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.