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Finding the Fourth Proportional to 766.82, 1,150.09 and 219.03

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Solution

The fourth proportional to 766.82, 1,150.09 and 219.03 is: 328.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.82 : 1,150.09 = 219.03 : x
  2. Step 2: Convert to fraction form
    766.82/1,150.09 = 219.03/x
  3. Step 3: Cross multiply
    766.82x = 1,150.09 × 219.03
  4. Step 4: Simplify right side
    766.82x = 251,904.21
  5. Step 5: Solve for x
    x = 251,904.21/766.82
  6. Step 6: Final answer
    x = 328.51

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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.