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Finding the Fourth Proportional to 845.24, 1,163.90 and 827.06

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Solution

The fourth proportional to 845.24, 1,163.90 and 827.06 is: 1,138.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.24 : 1,163.90 = 827.06 : x
  2. Step 2: Convert to fraction form
    845.24/1,163.90 = 827.06/x
  3. Step 3: Cross multiply
    845.24x = 1,163.90 × 827.06
  4. Step 4: Simplify right side
    845.24x = 962,615.13
  5. Step 5: Solve for x
    x = 962,615.13/845.24
  6. Step 6: Final answer
    x = 1,138.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.