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Finding the Fourth Proportional to 512.93, 769.40 and 486.96

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Solution

The fourth proportional to 512.93, 769.40 and 486.96 is: 730.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.93 : 769.40 = 486.96 : x
  2. Step 2: Convert to fraction form
    512.93/769.40 = 486.96/x
  3. Step 3: Cross multiply
    512.93x = 769.40 × 486.96
  4. Step 4: Simplify right side
    512.93x = 374,667.86
  5. Step 5: Solve for x
    x = 374,667.86/512.93
  6. Step 6: Final answer
    x = 730.44

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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.