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Finding the Fourth Proportional to 905.27, 1,249.20 and 512.32

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Solution

The fourth proportional to 905.27, 1,249.20 and 512.32 is: 706.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.27 : 1,249.20 = 512.32 : x
  2. Step 2: Convert to fraction form
    905.27/1,249.20 = 512.32/x
  3. Step 3: Cross multiply
    905.27x = 1,249.20 × 512.32
  4. Step 4: Simplify right side
    905.27x = 639,991.42
  5. Step 5: Solve for x
    x = 639,991.42/905.27
  6. Step 6: Final answer
    x = 706.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.