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Finding the Fourth Proportional to 767.63, 1,151.15 and 219.66

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Solution

The fourth proportional to 767.63, 1,151.15 and 219.66 is: 329.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.63 : 1,151.15 = 219.66 : x
  2. Step 2: Convert to fraction form
    767.63/1,151.15 = 219.66/x
  3. Step 3: Cross multiply
    767.63x = 1,151.15 × 219.66
  4. Step 4: Simplify right side
    767.63x = 252,860.51
  5. Step 5: Solve for x
    x = 252,860.51/767.63
  6. Step 6: Final answer
    x = 329.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.