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Finding the Fourth Proportional to 813.76, 1,220.85 and 327.14

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Solution

The fourth proportional to 813.76, 1,220.85 and 327.14 is: 490.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.76 : 1,220.85 = 327.14 : x
  2. Step 2: Convert to fraction form
    813.76/1,220.85 = 327.14/x
  3. Step 3: Cross multiply
    813.76x = 1,220.85 × 327.14
  4. Step 4: Simplify right side
    813.76x = 399,388.87
  5. Step 5: Solve for x
    x = 399,388.87/813.76
  6. Step 6: Final answer
    x = 490.79

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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.