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Finding the Fourth Proportional to 1,121.41, 1,682.31 and 472.09

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Solution

The fourth proportional to 1,121.41, 1,682.31 and 472.09 is: 708.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.41 : 1,682.31 = 472.09 : x
  2. Step 2: Convert to fraction form
    1,121.41/1,682.31 = 472.09/x
  3. Step 3: Cross multiply
    1,121.41x = 1,682.31 × 472.09
  4. Step 4: Simplify right side
    1,121.41x = 794,201.73
  5. Step 5: Solve for x
    x = 794,201.73/1,121.41
  6. Step 6: Final answer
    x = 708.22

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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.