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Finding the Fourth Proportional to 871.08, 1,202.36 and 539.80

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Solution

The fourth proportional to 871.08, 1,202.36 and 539.80 is: 745.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.08 : 1,202.36 = 539.80 : x
  2. Step 2: Convert to fraction form
    871.08/1,202.36 = 539.80/x
  3. Step 3: Cross multiply
    871.08x = 1,202.36 × 539.80
  4. Step 4: Simplify right side
    871.08x = 649,033.93
  5. Step 5: Solve for x
    x = 649,033.93/871.08
  6. Step 6: Final answer
    x = 745.09

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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.