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Finding the Fourth Proportional to 817.96, 1,227.48 and 385.15

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Solution

The fourth proportional to 817.96, 1,227.48 and 385.15 is: 577.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.96 : 1,227.48 = 385.15 : x
  2. Step 2: Convert to fraction form
    817.96/1,227.48 = 385.15/x
  3. Step 3: Cross multiply
    817.96x = 1,227.48 × 385.15
  4. Step 4: Simplify right side
    817.96x = 472,763.92
  5. Step 5: Solve for x
    x = 472,763.92/817.96
  6. Step 6: Final answer
    x = 577.98

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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.