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Finding the Fourth Proportional to 766.07, 1,149.10 and 188.94

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Solution

The fourth proportional to 766.07, 1,149.10 and 188.94 is: 283.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.07 : 1,149.10 = 188.94 : x
  2. Step 2: Convert to fraction form
    766.07/1,149.10 = 188.94/x
  3. Step 3: Cross multiply
    766.07x = 1,149.10 × 188.94
  4. Step 4: Simplify right side
    766.07x = 217,110.01
  5. Step 5: Solve for x
    x = 217,110.01/766.07
  6. Step 6: Final answer
    x = 283.41

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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.