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Finding the Fourth Proportional to 1,264.73, 1,745.81 and 1,086.98

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Solution

The fourth proportional to 1,264.73, 1,745.81 and 1,086.98 is: 1,500.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.73 : 1,745.81 = 1,086.98 : x
  2. Step 2: Convert to fraction form
    1,264.73/1,745.81 = 1,086.98/x
  3. Step 3: Cross multiply
    1,264.73x = 1,745.81 × 1,086.98
  4. Step 4: Simplify right side
    1,264.73x = 1,897,659.48
  5. Step 5: Solve for x
    x = 1,897,659.48/1,264.73
  6. Step 6: Final answer
    x = 1,500.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.