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Finding the Fourth Proportional to 1,204.22, 1,806.90 and 834.59

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Solution

The fourth proportional to 1,204.22, 1,806.90 and 834.59 is: 1,252.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.22 : 1,806.90 = 834.59 : x
  2. Step 2: Convert to fraction form
    1,204.22/1,806.90 = 834.59/x
  3. Step 3: Cross multiply
    1,204.22x = 1,806.90 × 834.59
  4. Step 4: Simplify right side
    1,204.22x = 1,508,022.06
  5. Step 5: Solve for x
    x = 1,508,022.06/1,204.22
  6. Step 6: Final answer
    x = 1,252.29

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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.