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Finding the Fourth Proportional to 767.54, 1,151.14 and 219.72

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Solution

The fourth proportional to 767.54, 1,151.14 and 219.72 is: 329.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.54 : 1,151.14 = 219.72 : x
  2. Step 2: Convert to fraction form
    767.54/1,151.14 = 219.72/x
  3. Step 3: Cross multiply
    767.54x = 1,151.14 × 219.72
  4. Step 4: Simplify right side
    767.54x = 252,928.48
  5. Step 5: Solve for x
    x = 252,928.48/767.54
  6. Step 6: Final answer
    x = 329.53

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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.