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Finding the Fourth Proportional to 998.93, 1,496.21 and 823.62

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Solution

The fourth proportional to 998.93, 1,496.21 and 823.62 is: 1,233.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.93 : 1,496.21 = 823.62 : x
  2. Step 2: Convert to fraction form
    998.93/1,496.21 = 823.62/x
  3. Step 3: Cross multiply
    998.93x = 1,496.21 × 823.62
  4. Step 4: Simplify right side
    998.93x = 1,232,314.61
  5. Step 5: Solve for x
    x = 1,232,314.61/998.93
  6. Step 6: Final answer
    x = 1,233.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.