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Finding the Fourth Proportional to 1,163.86, 1,744.70 and 798.82

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Solution

The fourth proportional to 1,163.86, 1,744.70 and 798.82 is: 1,197.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.86 : 1,744.70 = 798.82 : x
  2. Step 2: Convert to fraction form
    1,163.86/1,744.70 = 798.82/x
  3. Step 3: Cross multiply
    1,163.86x = 1,744.70 × 798.82
  4. Step 4: Simplify right side
    1,163.86x = 1,393,701.25
  5. Step 5: Solve for x
    x = 1,393,701.25/1,163.86
  6. Step 6: Final answer
    x = 1,197.48

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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.