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Finding the Fourth Proportional to 1,163.82, 1,745.99 and 342.10

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Solution

The fourth proportional to 1,163.82, 1,745.99 and 342.10 is: 513.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.82 : 1,745.99 = 342.10 : x
  2. Step 2: Convert to fraction form
    1,163.82/1,745.99 = 342.10/x
  3. Step 3: Cross multiply
    1,163.82x = 1,745.99 × 342.10
  4. Step 4: Simplify right side
    1,163.82x = 597,292.74
  5. Step 5: Solve for x
    x = 597,292.74/1,163.82
  6. Step 6: Final answer
    x = 513.22

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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.