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Finding the Fourth Proportional to 874.66, 1,311.75 and 326.55

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Solution

The fourth proportional to 874.66, 1,311.75 and 326.55 is: 489.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.66 : 1,311.75 = 326.55 : x
  2. Step 2: Convert to fraction form
    874.66/1,311.75 = 326.55/x
  3. Step 3: Cross multiply
    874.66x = 1,311.75 × 326.55
  4. Step 4: Simplify right side
    874.66x = 428,351.96
  5. Step 5: Solve for x
    x = 428,351.96/874.66
  6. Step 6: Final answer
    x = 489.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.