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Finding the Fourth Proportional to 767.83, 1,151.41 and 219.89

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Solution

The fourth proportional to 767.83, 1,151.41 and 219.89 is: 329.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.83 : 1,151.41 = 219.89 : x
  2. Step 2: Convert to fraction form
    767.83/1,151.41 = 219.89/x
  3. Step 3: Cross multiply
    767.83x = 1,151.41 × 219.89
  4. Step 4: Simplify right side
    767.83x = 253,183.54
  5. Step 5: Solve for x
    x = 253,183.54/767.83
  6. Step 6: Final answer
    x = 329.74

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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.