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Finding the Fourth Proportional to 998.83, 1,378.38 and 605.98

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Solution

The fourth proportional to 998.83, 1,378.38 and 605.98 is: 836.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.83 : 1,378.38 = 605.98 : x
  2. Step 2: Convert to fraction form
    998.83/1,378.38 = 605.98/x
  3. Step 3: Cross multiply
    998.83x = 1,378.38 × 605.98
  4. Step 4: Simplify right side
    998.83x = 835,270.71
  5. Step 5: Solve for x
    x = 835,270.71/998.83
  6. Step 6: Final answer
    x = 836.25

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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.