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Finding the Fourth Proportional to 905.71, 1,249.88 and 512.73

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Solution

The fourth proportional to 905.71, 1,249.88 and 512.73 is: 707.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.71 : 1,249.88 = 512.73 : x
  2. Step 2: Convert to fraction form
    905.71/1,249.88 = 512.73/x
  3. Step 3: Cross multiply
    905.71x = 1,249.88 × 512.73
  4. Step 4: Simplify right side
    905.71x = 640,850.97
  5. Step 5: Solve for x
    x = 640,850.97/905.71
  6. Step 6: Final answer
    x = 707.57

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Why These Related Problems?

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