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Finding the Fourth Proportional to 512.40, 768.61 and 127.65

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Solution

The fourth proportional to 512.40, 768.61 and 127.65 is: 191.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.40 : 768.61 = 127.65 : x
  2. Step 2: Convert to fraction form
    512.40/768.61 = 127.65/x
  3. Step 3: Cross multiply
    512.40x = 768.61 × 127.65
  4. Step 4: Simplify right side
    512.40x = 98,116.11
  5. Step 5: Solve for x
    x = 98,116.11/512.40
  6. Step 6: Final answer
    x = 191.48

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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.