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Finding the Fourth Proportional to 813.78, 1,220.73 and 326.83

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Solution

The fourth proportional to 813.78, 1,220.73 and 326.83 is: 490.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.78 : 1,220.73 = 326.83 : x
  2. Step 2: Convert to fraction form
    813.78/1,220.73 = 326.83/x
  3. Step 3: Cross multiply
    813.78x = 1,220.73 × 326.83
  4. Step 4: Simplify right side
    813.78x = 398,970.91
  5. Step 5: Solve for x
    x = 398,970.91/813.78
  6. Step 6: Final answer
    x = 490.27

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