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Finding the Fourth Proportional to 818.82, 1,227.03 and 645.91

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Solution

The fourth proportional to 818.82, 1,227.03 and 645.91 is: 967.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.82 : 1,227.03 = 645.91 : x
  2. Step 2: Convert to fraction form
    818.82/1,227.03 = 645.91/x
  3. Step 3: Cross multiply
    818.82x = 1,227.03 × 645.91
  4. Step 4: Simplify right side
    818.82x = 792,550.95
  5. Step 5: Solve for x
    x = 792,550.95/818.82
  6. Step 6: Final answer
    x = 967.92

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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.