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Finding the Fourth Proportional to 1,163.95, 1,745.31 and 798.85

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Solution

The fourth proportional to 1,163.95, 1,745.31 and 798.85 is: 1,197.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.95 : 1,745.31 = 798.85 : x
  2. Step 2: Convert to fraction form
    1,163.95/1,745.31 = 798.85/x
  3. Step 3: Cross multiply
    1,163.95x = 1,745.31 × 798.85
  4. Step 4: Simplify right side
    1,163.95x = 1,394,240.89
  5. Step 5: Solve for x
    x = 1,394,240.89/1,163.95
  6. Step 6: Final answer
    x = 1,197.85

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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.