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Finding the Fourth Proportional to 512.87, 773.96 and 486.41

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Solution

The fourth proportional to 512.87, 773.96 and 486.41 is: 734.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.87 : 773.96 = 486.41 : x
  2. Step 2: Convert to fraction form
    512.87/773.96 = 486.41/x
  3. Step 3: Cross multiply
    512.87x = 773.96 × 486.41
  4. Step 4: Simplify right side
    512.87x = 376,455.58
  5. Step 5: Solve for x
    x = 376,455.58/512.87
  6. Step 6: Final answer
    x = 734.02

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.