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Finding the Fourth Proportional to 1,163.84, 1,745.85 and 433.23

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Solution

The fourth proportional to 1,163.84, 1,745.85 and 433.23 is: 649.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.84 : 1,745.85 = 433.23 : x
  2. Step 2: Convert to fraction form
    1,163.84/1,745.85 = 433.23/x
  3. Step 3: Cross multiply
    1,163.84x = 1,745.85 × 433.23
  4. Step 4: Simplify right side
    1,163.84x = 756,354.60
  5. Step 5: Solve for x
    x = 756,354.60/1,163.84
  6. Step 6: Final answer
    x = 649.88

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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.