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Finding the Fourth Proportional to 998.47, 1,378 and 605.49

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Solution

The fourth proportional to 998.47, 1,378 and 605.49 is: 835.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.47 : 1,378 = 605.49 : x
  2. Step 2: Convert to fraction form
    998.47/1,378 = 605.49/x
  3. Step 3: Cross multiply
    998.47x = 1,378 × 605.49
  4. Step 4: Simplify right side
    998.47x = 834,365.22
  5. Step 5: Solve for x
    x = 834,365.22/998.47
  6. Step 6: Final answer
    x = 835.64

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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.