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Finding the Fourth Proportional to 766.73, 1,150.20 and 246.58

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Solution

The fourth proportional to 766.73, 1,150.20 and 246.58 is: 369.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.73 : 1,150.20 = 246.58 : x
  2. Step 2: Convert to fraction form
    766.73/1,150.20 = 246.58/x
  3. Step 3: Cross multiply
    766.73x = 1,150.20 × 246.58
  4. Step 4: Simplify right side
    766.73x = 283,613.44
  5. Step 5: Solve for x
    x = 283,613.44/766.73
  6. Step 6: Final answer
    x = 369.90

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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.