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Finding the Fourth Proportional to 1,163.37, 1,744.37 and 470.06

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Solution

The fourth proportional to 1,163.37, 1,744.37 and 470.06 is: 704.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.37 : 1,744.37 = 470.06 : x
  2. Step 2: Convert to fraction form
    1,163.37/1,744.37 = 470.06/x
  3. Step 3: Cross multiply
    1,163.37x = 1,744.37 × 470.06
  4. Step 4: Simplify right side
    1,163.37x = 819,958.56
  5. Step 5: Solve for x
    x = 819,958.56/1,163.37
  6. Step 6: Final answer
    x = 704.81

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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.