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Finding the Fourth Proportional to 1,171.76, 1,757.97 and 441.44

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Solution

The fourth proportional to 1,171.76, 1,757.97 and 441.44 is: 662.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.76 : 1,757.97 = 441.44 : x
  2. Step 2: Convert to fraction form
    1,171.76/1,757.97 = 441.44/x
  3. Step 3: Cross multiply
    1,171.76x = 1,757.97 × 441.44
  4. Step 4: Simplify right side
    1,171.76x = 776,029.49
  5. Step 5: Solve for x
    x = 776,029.49/1,171.76
  6. Step 6: Final answer
    x = 662.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.