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Finding the Fourth Proportional to 1,205.22, 1,806.95 and 814.25

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Solution

The fourth proportional to 1,205.22, 1,806.95 and 814.25 is: 1,220.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.22 : 1,806.95 = 814.25 : x
  2. Step 2: Convert to fraction form
    1,205.22/1,806.95 = 814.25/x
  3. Step 3: Cross multiply
    1,205.22x = 1,806.95 × 814.25
  4. Step 4: Simplify right side
    1,205.22x = 1,471,309.04
  5. Step 5: Solve for x
    x = 1,471,309.04/1,205.22
  6. Step 6: Final answer
    x = 1,220.78

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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.