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Finding the Fourth Proportional to 871.70, 1,202.96 and 498.76

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Solution

The fourth proportional to 871.70, 1,202.96 and 498.76 is: 688.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.70 : 1,202.96 = 498.76 : x
  2. Step 2: Convert to fraction form
    871.70/1,202.96 = 498.76/x
  3. Step 3: Cross multiply
    871.70x = 1,202.96 × 498.76
  4. Step 4: Simplify right side
    871.70x = 599,986.57
  5. Step 5: Solve for x
    x = 599,986.57/871.70
  6. Step 6: Final answer
    x = 688.30

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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.