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Finding the Fourth Proportional to 998.12, 1,496.48 and 450.77

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Solution

The fourth proportional to 998.12, 1,496.48 and 450.77 is: 675.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.12 : 1,496.48 = 450.77 : x
  2. Step 2: Convert to fraction form
    998.12/1,496.48 = 450.77/x
  3. Step 3: Cross multiply
    998.12x = 1,496.48 × 450.77
  4. Step 4: Simplify right side
    998.12x = 674,558.55
  5. Step 5: Solve for x
    x = 674,558.55/998.12
  6. Step 6: Final answer
    x = 675.83

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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.