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Finding the Fourth Proportional to 818.42, 1,227.64 and 673.84

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Solution

The fourth proportional to 818.42, 1,227.64 and 673.84 is: 1,010.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.42 : 1,227.64 = 673.84 : x
  2. Step 2: Convert to fraction form
    818.42/1,227.64 = 673.84/x
  3. Step 3: Cross multiply
    818.42x = 1,227.64 × 673.84
  4. Step 4: Simplify right side
    818.42x = 827,229.85
  5. Step 5: Solve for x
    x = 827,229.85/818.42
  6. Step 6: Final answer
    x = 1,010.76

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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.