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Finding the Fourth Proportional to 1,163.94, 1,745.91 and 547.44

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Solution

The fourth proportional to 1,163.94, 1,745.91 and 547.44 is: 821.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.94 : 1,745.91 = 547.44 : x
  2. Step 2: Convert to fraction form
    1,163.94/1,745.91 = 547.44/x
  3. Step 3: Cross multiply
    1,163.94x = 1,745.91 × 547.44
  4. Step 4: Simplify right side
    1,163.94x = 955,780.97
  5. Step 5: Solve for x
    x = 955,780.97/1,163.94
  6. Step 6: Final answer
    x = 821.16

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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.