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Finding the Fourth Proportional to 768.61, 1,152.92 and 191.48

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Solution

The fourth proportional to 768.61, 1,152.92 and 191.48 is: 287.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.61 : 1,152.92 = 191.48 : x
  2. Step 2: Convert to fraction form
    768.61/1,152.92 = 191.48/x
  3. Step 3: Cross multiply
    768.61x = 1,152.92 × 191.48
  4. Step 4: Simplify right side
    768.61x = 220,761.24
  5. Step 5: Solve for x
    x = 220,761.24/768.61
  6. Step 6: Final answer
    x = 287.22

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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.