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Finding the Fourth Proportional to 874.24, 1,202.90 and 677.41

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Solution

The fourth proportional to 874.24, 1,202.90 and 677.41 is: 932.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.24 : 1,202.90 = 677.41 : x
  2. Step 2: Convert to fraction form
    874.24/1,202.90 = 677.41/x
  3. Step 3: Cross multiply
    874.24x = 1,202.90 × 677.41
  4. Step 4: Simplify right side
    874.24x = 814,856.49
  5. Step 5: Solve for x
    x = 814,856.49/874.24
  6. Step 6: Final answer
    x = 932.07

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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.