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Finding the Fourth Proportional to 1,402.84, 1,936.37 and 905.09

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Solution

The fourth proportional to 1,402.84, 1,936.37 and 905.09 is: 1,249.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.84 : 1,936.37 = 905.09 : x
  2. Step 2: Convert to fraction form
    1,402.84/1,936.37 = 905.09/x
  3. Step 3: Cross multiply
    1,402.84x = 1,936.37 × 905.09
  4. Step 4: Simplify right side
    1,402.84x = 1,752,589.44
  5. Step 5: Solve for x
    x = 1,752,589.44/1,402.84
  6. Step 6: Final answer
    x = 1,249.32

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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.