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Finding the Fourth Proportional to 517.92, 771.63 and 512.79

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Solution

The fourth proportional to 517.92, 771.63 and 512.79 is: 763.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.92 : 771.63 = 512.79 : x
  2. Step 2: Convert to fraction form
    517.92/771.63 = 512.79/x
  3. Step 3: Cross multiply
    517.92x = 771.63 × 512.79
  4. Step 4: Simplify right side
    517.92x = 395,684.15
  5. Step 5: Solve for x
    x = 395,684.15/517.92
  6. Step 6: Final answer
    x = 763.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.