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Finding the Fourth Proportional to 1,163.80, 1,745.73 and 383.80

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Solution

The fourth proportional to 1,163.80, 1,745.73 and 383.80 is: 575.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.80 : 1,745.73 = 383.80 : x
  2. Step 2: Convert to fraction form
    1,163.80/1,745.73 = 383.80/x
  3. Step 3: Cross multiply
    1,163.80x = 1,745.73 × 383.80
  4. Step 4: Simplify right side
    1,163.80x = 670,011.17
  5. Step 5: Solve for x
    x = 670,011.17/1,163.80
  6. Step 6: Final answer
    x = 575.71

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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.