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Finding the Fourth Proportional to 998.49, 1,378.16 and 605.44

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Solution

The fourth proportional to 998.49, 1,378.16 and 605.44 is: 835.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.49 : 1,378.16 = 605.44 : x
  2. Step 2: Convert to fraction form
    998.49/1,378.16 = 605.44/x
  3. Step 3: Cross multiply
    998.49x = 1,378.16 × 605.44
  4. Step 4: Simplify right side
    998.49x = 834,391.26
  5. Step 5: Solve for x
    x = 834,391.26/998.49
  6. Step 6: Final answer
    x = 835.65

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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.