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Finding the Fourth Proportional to 1,272.33, 1,906.82 and 687.48

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Solution

The fourth proportional to 1,272.33, 1,906.82 and 687.48 is: 1,030.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.33 : 1,906.82 = 687.48 : x
  2. Step 2: Convert to fraction form
    1,272.33/1,906.82 = 687.48/x
  3. Step 3: Cross multiply
    1,272.33x = 1,906.82 × 687.48
  4. Step 4: Simplify right side
    1,272.33x = 1,310,896.03
  5. Step 5: Solve for x
    x = 1,310,896.03/1,272.33
  6. Step 6: Final answer
    x = 1,030.31

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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.