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Finding the Fourth Proportional to 817.38, 1,224.45 and 663.48

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Solution

The fourth proportional to 817.38, 1,224.45 and 663.48 is: 993.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.38 : 1,224.45 = 663.48 : x
  2. Step 2: Convert to fraction form
    817.38/1,224.45 = 663.48/x
  3. Step 3: Cross multiply
    817.38x = 1,224.45 × 663.48
  4. Step 4: Simplify right side
    817.38x = 812,398.09
  5. Step 5: Solve for x
    x = 812,398.09/817.38
  6. Step 6: Final answer
    x = 993.91

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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.