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Finding the Fourth Proportional to 905.78, 1,249.90 and 512.73

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Solution

The fourth proportional to 905.78, 1,249.90 and 512.73 is: 707.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.78 : 1,249.90 = 512.73 : x
  2. Step 2: Convert to fraction form
    905.78/1,249.90 = 512.73/x
  3. Step 3: Cross multiply
    905.78x = 1,249.90 × 512.73
  4. Step 4: Simplify right side
    905.78x = 640,859.95
  5. Step 5: Solve for x
    x = 640,859.95/905.78
  6. Step 6: Final answer
    x = 707.52

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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.