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Finding the Fourth Proportional to 993.60, 1,371.42 and 600.66

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Solution

The fourth proportional to 993.60, 1,371.42 and 600.66 is: 829.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.60 : 1,371.42 = 600.66 : x
  2. Step 2: Convert to fraction form
    993.60/1,371.42 = 600.66/x
  3. Step 3: Cross multiply
    993.60x = 1,371.42 × 600.66
  4. Step 4: Simplify right side
    993.60x = 823,757.14
  5. Step 5: Solve for x
    x = 823,757.14/993.60
  6. Step 6: Final answer
    x = 829.06

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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.