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Finding the Fourth Proportional to 998.94, 1,496.37 and 814.50

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Solution

The fourth proportional to 998.94, 1,496.37 and 814.50 is: 1,220.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.94 : 1,496.37 = 814.50 : x
  2. Step 2: Convert to fraction form
    998.94/1,496.37 = 814.50/x
  3. Step 3: Cross multiply
    998.94x = 1,496.37 × 814.50
  4. Step 4: Simplify right side
    998.94x = 1,218,793.37
  5. Step 5: Solve for x
    x = 1,218,793.37/998.94
  6. Step 6: Final answer
    x = 1,220.09

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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.