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Finding the Fourth Proportional to 1,163.49, 1,745.57 and 676.95

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Solution

The fourth proportional to 1,163.49, 1,745.57 and 676.95 is: 1,015.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.49 : 1,745.57 = 676.95 : x
  2. Step 2: Convert to fraction form
    1,163.49/1,745.57 = 676.95/x
  3. Step 3: Cross multiply
    1,163.49x = 1,745.57 × 676.95
  4. Step 4: Simplify right side
    1,163.49x = 1,181,663.61
  5. Step 5: Solve for x
    x = 1,181,663.61/1,163.49
  6. Step 6: Final answer
    x = 1,015.62

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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.