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Finding the Fourth Proportional to 993.53, 1,371.11 and 600.33

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Solution

The fourth proportional to 993.53, 1,371.11 and 600.33 is: 828.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.53 : 1,371.11 = 600.33 : x
  2. Step 2: Convert to fraction form
    993.53/1,371.11 = 600.33/x
  3. Step 3: Cross multiply
    993.53x = 1,371.11 × 600.33
  4. Step 4: Simplify right side
    993.53x = 823,116.27
  5. Step 5: Solve for x
    x = 823,116.27/993.53
  6. Step 6: Final answer
    x = 828.47

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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.