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Finding the Fourth Proportional to 518.14, 773.61 and 512.94

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Solution

The fourth proportional to 518.14, 773.61 and 512.94 is: 765.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.14 : 773.61 = 512.94 : x
  2. Step 2: Convert to fraction form
    518.14/773.61 = 512.94/x
  3. Step 3: Cross multiply
    518.14x = 773.61 × 512.94
  4. Step 4: Simplify right side
    518.14x = 396,815.51
  5. Step 5: Solve for x
    x = 396,815.51/518.14
  6. Step 6: Final answer
    x = 765.85

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Why These Related Problems?

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