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Finding the Fourth Proportional to 817.87, 1,227.41 and 385.33

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Solution

The fourth proportional to 817.87, 1,227.41 and 385.33 is: 578.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.87 : 1,227.41 = 385.33 : x
  2. Step 2: Convert to fraction form
    817.87/1,227.41 = 385.33/x
  3. Step 3: Cross multiply
    817.87x = 1,227.41 × 385.33
  4. Step 4: Simplify right side
    817.87x = 472,953.86
  5. Step 5: Solve for x
    x = 472,953.86/817.87
  6. Step 6: Final answer
    x = 578.28

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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.