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Finding the Fourth Proportional to 871.57, 1,202.70 and 498.43

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Solution

The fourth proportional to 871.57, 1,202.70 and 498.43 is: 687.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.57 : 1,202.70 = 498.43 : x
  2. Step 2: Convert to fraction form
    871.57/1,202.70 = 498.43/x
  3. Step 3: Cross multiply
    871.57x = 1,202.70 × 498.43
  4. Step 4: Simplify right side
    871.57x = 599,461.76
  5. Step 5: Solve for x
    x = 599,461.76/871.57
  6. Step 6: Final answer
    x = 687.80

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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.