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Finding the Fourth Proportional to 905.29, 1,249.16 and 512.24

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Solution

The fourth proportional to 905.29, 1,249.16 and 512.24 is: 706.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.29 : 1,249.16 = 512.24 : x
  2. Step 2: Convert to fraction form
    905.29/1,249.16 = 512.24/x
  3. Step 3: Cross multiply
    905.29x = 1,249.16 × 512.24
  4. Step 4: Simplify right side
    905.29x = 639,867.94
  5. Step 5: Solve for x
    x = 639,867.94/905.29
  6. Step 6: Final answer
    x = 706.81

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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.