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Finding the Fourth Proportional to 1,081.91, 1,622.21 and 496.17

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Solution

The fourth proportional to 1,081.91, 1,622.21 and 496.17 is: 743.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.91 : 1,622.21 = 496.17 : x
  2. Step 2: Convert to fraction form
    1,081.91/1,622.21 = 496.17/x
  3. Step 3: Cross multiply
    1,081.91x = 1,622.21 × 496.17
  4. Step 4: Simplify right side
    1,081.91x = 804,896.93
  5. Step 5: Solve for x
    x = 804,896.93/1,081.91
  6. Step 6: Final answer
    x = 743.96

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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.