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Finding the Fourth Proportional to 1,270.33, 1,906.22 and 685.33

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Solution

The fourth proportional to 1,270.33, 1,906.22 and 685.33 is: 1,028.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.33 : 1,906.22 = 685.33 : x
  2. Step 2: Convert to fraction form
    1,270.33/1,906.22 = 685.33/x
  3. Step 3: Cross multiply
    1,270.33x = 1,906.22 × 685.33
  4. Step 4: Simplify right side
    1,270.33x = 1,306,378.51
  5. Step 5: Solve for x
    x = 1,306,378.51/1,270.33
  6. Step 6: Final answer
    x = 1,028.38

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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.