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Finding the Fourth Proportional to 813.14, 1,220.34 and 326.24

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Solution

The fourth proportional to 813.14, 1,220.34 and 326.24 is: 489.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.14 : 1,220.34 = 326.24 : x
  2. Step 2: Convert to fraction form
    813.14/1,220.34 = 326.24/x
  3. Step 3: Cross multiply
    813.14x = 1,220.34 × 326.24
  4. Step 4: Simplify right side
    813.14x = 398,123.72
  5. Step 5: Solve for x
    x = 398,123.72/813.14
  6. Step 6: Final answer
    x = 489.61

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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.