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Finding the Fourth Proportional to 1,163.57, 1,745.27 and 341.83

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Solution

The fourth proportional to 1,163.57, 1,745.27 and 341.83 is: 512.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.57 : 1,745.27 = 341.83 : x
  2. Step 2: Convert to fraction form
    1,163.57/1,745.27 = 341.83/x
  3. Step 3: Cross multiply
    1,163.57x = 1,745.27 × 341.83
  4. Step 4: Simplify right side
    1,163.57x = 596,575.21
  5. Step 5: Solve for x
    x = 596,575.21/1,163.57
  6. Step 6: Final answer
    x = 512.71

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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.