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Finding the Fourth Proportional to 766.29, 1,149.43 and 189.17

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Solution

The fourth proportional to 766.29, 1,149.43 and 189.17 is: 283.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.29 : 1,149.43 = 189.17 : x
  2. Step 2: Convert to fraction form
    766.29/1,149.43 = 189.17/x
  3. Step 3: Cross multiply
    766.29x = 1,149.43 × 189.17
  4. Step 4: Simplify right side
    766.29x = 217,437.67
  5. Step 5: Solve for x
    x = 217,437.67/766.29
  6. Step 6: Final answer
    x = 283.75

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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.