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Finding the Fourth Proportional to 818.85, 1,227.32 and 385.11

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Solution

The fourth proportional to 818.85, 1,227.32 and 385.11 is: 577.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.85 : 1,227.32 = 385.11 : x
  2. Step 2: Convert to fraction form
    818.85/1,227.32 = 385.11/x
  3. Step 3: Cross multiply
    818.85x = 1,227.32 × 385.11
  4. Step 4: Simplify right side
    818.85x = 472,651.28
  5. Step 5: Solve for x
    x = 472,651.28/818.85
  6. Step 6: Final answer
    x = 577.21

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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.