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Finding the Fourth Proportional to 766.32, 1,149.48 and 189.20

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Solution

The fourth proportional to 766.32, 1,149.48 and 189.20 is: 283.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.32 : 1,149.48 = 189.20 : x
  2. Step 2: Convert to fraction form
    766.32/1,149.48 = 189.20/x
  3. Step 3: Cross multiply
    766.32x = 1,149.48 × 189.20
  4. Step 4: Simplify right side
    766.32x = 217,475.87
  5. Step 5: Solve for x
    x = 217,475.87/766.32
  6. Step 6: Final answer
    x = 283.79

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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.