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Finding the Fourth Proportional to 993.60, 1,371.33 and 600.82

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Solution

The fourth proportional to 993.60, 1,371.33 and 600.82 is: 829.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.60 : 1,371.33 = 600.82 : x
  2. Step 2: Convert to fraction form
    993.60/1,371.33 = 600.82/x
  3. Step 3: Cross multiply
    993.60x = 1,371.33 × 600.82
  4. Step 4: Simplify right side
    993.60x = 823,919.06
  5. Step 5: Solve for x
    x = 823,919.06/993.60
  6. Step 6: Final answer
    x = 829.23

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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.