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Finding the Fourth Proportional to 1,163.48, 1,744.05 and 470.02

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Solution

The fourth proportional to 1,163.48, 1,744.05 and 470.02 is: 704.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.48 : 1,744.05 = 470.02 : x
  2. Step 2: Convert to fraction form
    1,163.48/1,744.05 = 470.02/x
  3. Step 3: Cross multiply
    1,163.48x = 1,744.05 × 470.02
  4. Step 4: Simplify right side
    1,163.48x = 819,738.38
  5. Step 5: Solve for x
    x = 819,738.38/1,163.48
  6. Step 6: Final answer
    x = 704.56

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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.