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Finding the Fourth Proportional to 766.83, 1,150.11 and 219

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Solution

The fourth proportional to 766.83, 1,150.11 and 219 is: 328.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.83 : 1,150.11 = 219 : x
  2. Step 2: Convert to fraction form
    766.83/1,150.11 = 219/x
  3. Step 3: Cross multiply
    766.83x = 1,150.11 × 219
  4. Step 4: Simplify right side
    766.83x = 251,874.09
  5. Step 5: Solve for x
    x = 251,874.09/766.83
  6. Step 6: Final answer
    x = 328.46

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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.