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Finding the Fourth Proportional to 998.25, 1,496.35 and 450.28

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Solution

The fourth proportional to 998.25, 1,496.35 and 450.28 is: 674.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.25 : 1,496.35 = 450.28 : x
  2. Step 2: Convert to fraction form
    998.25/1,496.35 = 450.28/x
  3. Step 3: Cross multiply
    998.25x = 1,496.35 × 450.28
  4. Step 4: Simplify right side
    998.25x = 673,776.48
  5. Step 5: Solve for x
    x = 673,776.48/998.25
  6. Step 6: Final answer
    x = 674.96

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1.5x scale

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.