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Finding the Fourth Proportional to 998.99, 1,379.24 and 684.78

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Solution

The fourth proportional to 998.99, 1,379.24 and 684.78 is: 945.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.99 : 1,379.24 = 684.78 : x
  2. Step 2: Convert to fraction form
    998.99/1,379.24 = 684.78/x
  3. Step 3: Cross multiply
    998.99x = 1,379.24 × 684.78
  4. Step 4: Simplify right side
    998.99x = 944,472.54
  5. Step 5: Solve for x
    x = 944,472.54/998.99
  6. Step 6: Final answer
    x = 945.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.