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Finding the Fourth Proportional to 993.23, 1,367.54 and 843.54

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Solution

The fourth proportional to 993.23, 1,367.54 and 843.54 is: 1,161.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.23 : 1,367.54 = 843.54 : x
  2. Step 2: Convert to fraction form
    993.23/1,367.54 = 843.54/x
  3. Step 3: Cross multiply
    993.23x = 1,367.54 × 843.54
  4. Step 4: Simplify right side
    993.23x = 1,153,570.47
  5. Step 5: Solve for x
    x = 1,153,570.47/993.23
  6. Step 6: Final answer
    x = 1,161.44

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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.