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Finding the Fourth Proportional to 905.48, 1,249.52 and 512.49

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Solution

The fourth proportional to 905.48, 1,249.52 and 512.49 is: 707.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.48 : 1,249.52 = 512.49 : x
  2. Step 2: Convert to fraction form
    905.48/1,249.52 = 512.49/x
  3. Step 3: Cross multiply
    905.48x = 1,249.52 × 512.49
  4. Step 4: Simplify right side
    905.48x = 640,363.94
  5. Step 5: Solve for x
    x = 640,363.94/905.48
  6. Step 6: Final answer
    x = 707.21

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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.