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Finding the Fourth Proportional to 818.88, 1,227.24 and 472.44

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Solution

The fourth proportional to 818.88, 1,227.24 and 472.44 is: 708.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.88 : 1,227.24 = 472.44 : x
  2. Step 2: Convert to fraction form
    818.88/1,227.24 = 472.44/x
  3. Step 3: Cross multiply
    818.88x = 1,227.24 × 472.44
  4. Step 4: Simplify right side
    818.88x = 579,797.27
  5. Step 5: Solve for x
    x = 579,797.27/818.88
  6. Step 6: Final answer
    x = 708.04

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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.