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Finding the Fourth Proportional to 993.77, 1,371.61 and 827.82

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Solution

The fourth proportional to 993.77, 1,371.61 and 827.82 is: 1,142.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.77 : 1,371.61 = 827.82 : x
  2. Step 2: Convert to fraction form
    993.77/1,371.61 = 827.82/x
  3. Step 3: Cross multiply
    993.77x = 1,371.61 × 827.82
  4. Step 4: Simplify right side
    993.77x = 1,135,446.19
  5. Step 5: Solve for x
    x = 1,135,446.19/993.77
  6. Step 6: Final answer
    x = 1,142.56

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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.