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Finding the Fourth Proportional to 993.83, 1,370.34 and 806.74

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Solution

The fourth proportional to 993.83, 1,370.34 and 806.74 is: 1,112.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.83 : 1,370.34 = 806.74 : x
  2. Step 2: Convert to fraction form
    993.83/1,370.34 = 806.74/x
  3. Step 3: Cross multiply
    993.83x = 1,370.34 × 806.74
  4. Step 4: Simplify right side
    993.83x = 1,105,508.09
  5. Step 5: Solve for x
    x = 1,105,508.09/993.83
  6. Step 6: Final answer
    x = 1,112.37

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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.