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Finding the Fourth Proportional to 905.27, 1,249.70 and 611.01

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Solution

The fourth proportional to 905.27, 1,249.70 and 611.01 is: 843.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.27 : 1,249.70 = 611.01 : x
  2. Step 2: Convert to fraction form
    905.27/1,249.70 = 611.01/x
  3. Step 3: Cross multiply
    905.27x = 1,249.70 × 611.01
  4. Step 4: Simplify right side
    905.27x = 763,576.14
  5. Step 5: Solve for x
    x = 763,576.14/905.27
  6. Step 6: Final answer
    x = 843.48

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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.