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Finding the Fourth Proportional to 998.49, 1,498.83 and 421.77

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Solution

The fourth proportional to 998.49, 1,498.83 and 421.77 is: 633.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.49 : 1,498.83 = 421.77 : x
  2. Step 2: Convert to fraction form
    998.49/1,498.83 = 421.77/x
  3. Step 3: Cross multiply
    998.49x = 1,498.83 × 421.77
  4. Step 4: Simplify right side
    998.49x = 632,161.53
  5. Step 5: Solve for x
    x = 632,161.53/998.49
  6. Step 6: Final answer
    x = 633.12

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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.