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Finding the Fourth Proportional to 821.26, 1,231.63 and 327.82

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Solution

The fourth proportional to 821.26, 1,231.63 and 327.82 is: 491.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.26 : 1,231.63 = 327.82 : x
  2. Step 2: Convert to fraction form
    821.26/1,231.63 = 327.82/x
  3. Step 3: Cross multiply
    821.26x = 1,231.63 × 327.82
  4. Step 4: Simplify right side
    821.26x = 403,755.74
  5. Step 5: Solve for x
    x = 403,755.74/821.26
  6. Step 6: Final answer
    x = 491.63

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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.