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Finding the Fourth Proportional to 905.94, 1,249.91 and 512.96

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Solution

The fourth proportional to 905.94, 1,249.91 and 512.96 is: 707.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.94 : 1,249.91 = 512.96 : x
  2. Step 2: Convert to fraction form
    905.94/1,249.91 = 512.96/x
  3. Step 3: Cross multiply
    905.94x = 1,249.91 × 512.96
  4. Step 4: Simplify right side
    905.94x = 641,145.02
  5. Step 5: Solve for x
    x = 641,145.02/905.94
  6. Step 6: Final answer
    x = 707.71

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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.