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Finding the Fourth Proportional to 817.67, 1,227.74 and 408.21

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Solution

The fourth proportional to 817.67, 1,227.74 and 408.21 is: 612.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.67 : 1,227.74 = 408.21 : x
  2. Step 2: Convert to fraction form
    817.67/1,227.74 = 408.21/x
  3. Step 3: Cross multiply
    817.67x = 1,227.74 × 408.21
  4. Step 4: Simplify right side
    817.67x = 501,173.70
  5. Step 5: Solve for x
    x = 501,173.70/817.67
  6. Step 6: Final answer
    x = 612.93

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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.