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Finding the Fourth Proportional to 817.59, 1,227.83 and 634.43

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Solution

The fourth proportional to 817.59, 1,227.83 and 634.43 is: 952.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.59 : 1,227.83 = 634.43 : x
  2. Step 2: Convert to fraction form
    817.59/1,227.83 = 634.43/x
  3. Step 3: Cross multiply
    817.59x = 1,227.83 × 634.43
  4. Step 4: Simplify right side
    817.59x = 778,972.08
  5. Step 5: Solve for x
    x = 778,972.08/817.59
  6. Step 6: Final answer
    x = 952.76

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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.