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Finding the Fourth Proportional to 818.57, 1,227.18 and 772.73

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Solution

The fourth proportional to 818.57, 1,227.18 and 772.73 is: 1,158.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.57 : 1,227.18 = 772.73 : x
  2. Step 2: Convert to fraction form
    818.57/1,227.18 = 772.73/x
  3. Step 3: Cross multiply
    818.57x = 1,227.18 × 772.73
  4. Step 4: Simplify right side
    818.57x = 948,272.67
  5. Step 5: Solve for x
    x = 948,272.67/818.57
  6. Step 6: Final answer
    x = 1,158.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.