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Finding the Fourth Proportional to 871.26, 1,202.34 and 498.22

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Solution

The fourth proportional to 871.26, 1,202.34 and 498.22 is: 687.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.26 : 1,202.34 = 498.22 : x
  2. Step 2: Convert to fraction form
    871.26/1,202.34 = 498.22/x
  3. Step 3: Cross multiply
    871.26x = 1,202.34 × 498.22
  4. Step 4: Simplify right side
    871.26x = 599,029.83
  5. Step 5: Solve for x
    x = 599,029.83/871.26
  6. Step 6: Final answer
    x = 687.54

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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.