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Finding the Fourth Proportional to 821.35, 1,230.82 and 382.73

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Solution

The fourth proportional to 821.35, 1,230.82 and 382.73 is: 573.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.35 : 1,230.82 = 382.73 : x
  2. Step 2: Convert to fraction form
    821.35/1,230.82 = 382.73/x
  3. Step 3: Cross multiply
    821.35x = 1,230.82 × 382.73
  4. Step 4: Simplify right side
    821.35x = 471,071.74
  5. Step 5: Solve for x
    x = 471,071.74/821.35
  6. Step 6: Final answer
    x = 573.53

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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.