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Finding the Fourth Proportional to 809.73, 1,213.18 and 604.67

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Solution

The fourth proportional to 809.73, 1,213.18 and 604.67 is: 905.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.73 : 1,213.18 = 604.67 : x
  2. Step 2: Convert to fraction form
    809.73/1,213.18 = 604.67/x
  3. Step 3: Cross multiply
    809.73x = 1,213.18 × 604.67
  4. Step 4: Simplify right side
    809.73x = 733,565.97
  5. Step 5: Solve for x
    x = 733,565.97/809.73
  6. Step 6: Final answer
    x = 905.94

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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.