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Finding the Fourth Proportional to 905.27, 1,351.34 and 837.63

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Solution

The fourth proportional to 905.27, 1,351.34 and 837.63 is: 1,250.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.27 : 1,351.34 = 837.63 : x
  2. Step 2: Convert to fraction form
    905.27/1,351.34 = 837.63/x
  3. Step 3: Cross multiply
    905.27x = 1,351.34 × 837.63
  4. Step 4: Simplify right side
    905.27x = 1,131,918.74
  5. Step 5: Solve for x
    x = 1,131,918.74/905.27
  6. Step 6: Final answer
    x = 1,250.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.