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Finding the Fourth Proportional to 998.27, 1,378.36 and 605.83

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Solution

The fourth proportional to 998.27, 1,378.36 and 605.83 is: 836.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.27 : 1,378.36 = 605.83 : x
  2. Step 2: Convert to fraction form
    998.27/1,378.36 = 605.83/x
  3. Step 3: Cross multiply
    998.27x = 1,378.36 × 605.83
  4. Step 4: Simplify right side
    998.27x = 835,041.92
  5. Step 5: Solve for x
    x = 835,041.92/998.27
  6. Step 6: Final answer
    x = 836.49

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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.