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Finding the Fourth Proportional to 998.34, 1,496.70 and 450.24

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Solution

The fourth proportional to 998.34, 1,496.70 and 450.24 is: 674.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.34 : 1,496.70 = 450.24 : x
  2. Step 2: Convert to fraction form
    998.34/1,496.70 = 450.24/x
  3. Step 3: Cross multiply
    998.34x = 1,496.70 × 450.24
  4. Step 4: Simplify right side
    998.34x = 673,874.21
  5. Step 5: Solve for x
    x = 673,874.21/998.34
  6. Step 6: Final answer
    x = 674.99

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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.