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Finding the Fourth Proportional to 998.18, 1,497.81 and 961.82

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Solution

The fourth proportional to 998.18, 1,497.81 and 961.82 is: 1,443.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.18 : 1,497.81 = 961.82 : x
  2. Step 2: Convert to fraction form
    998.18/1,497.81 = 961.82/x
  3. Step 3: Cross multiply
    998.18x = 1,497.81 × 961.82
  4. Step 4: Simplify right side
    998.18x = 1,440,623.61
  5. Step 5: Solve for x
    x = 1,440,623.61/998.18
  6. Step 6: Final answer
    x = 1,443.25

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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.