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Finding the Fourth Proportional to 1,081.91, 1,622.90 and 301.97

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Solution

The fourth proportional to 1,081.91, 1,622.90 and 301.97 is: 452.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.91 : 1,622.90 = 301.97 : x
  2. Step 2: Convert to fraction form
    1,081.91/1,622.90 = 301.97/x
  3. Step 3: Cross multiply
    1,081.91x = 1,622.90 × 301.97
  4. Step 4: Simplify right side
    1,081.91x = 490,069.66
  5. Step 5: Solve for x
    x = 490,069.66/1,081.91
  6. Step 6: Final answer
    x = 452.97

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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.