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Finding the Fourth Proportional to 1,163.92, 1,745.86 and 298.30

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Solution

The fourth proportional to 1,163.92, 1,745.86 and 298.30 is: 447.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.92 : 1,745.86 = 298.30 : x
  2. Step 2: Convert to fraction form
    1,163.92/1,745.86 = 298.30/x
  3. Step 3: Cross multiply
    1,163.92x = 1,745.86 × 298.30
  4. Step 4: Simplify right side
    1,163.92x = 520,790.04
  5. Step 5: Solve for x
    x = 520,790.04/1,163.92
  6. Step 6: Final answer
    x = 447.44

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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.