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Finding the Fourth Proportional to 1,272.31, 1,906.89 and 722.82

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Solution

The fourth proportional to 1,272.31, 1,906.89 and 722.82 is: 1,083.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.31 : 1,906.89 = 722.82 : x
  2. Step 2: Convert to fraction form
    1,272.31/1,906.89 = 722.82/x
  3. Step 3: Cross multiply
    1,272.31x = 1,906.89 × 722.82
  4. Step 4: Simplify right side
    1,272.31x = 1,378,346.74
  5. Step 5: Solve for x
    x = 1,378,346.74/1,272.31
  6. Step 6: Final answer
    x = 1,083.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.