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Finding the Fourth Proportional to 998.62, 1,498.54 and 633.54

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Solution

The fourth proportional to 998.62, 1,498.54 and 633.54 is: 950.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.62 : 1,498.54 = 633.54 : x
  2. Step 2: Convert to fraction form
    998.62/1,498.54 = 633.54/x
  3. Step 3: Cross multiply
    998.62x = 1,498.54 × 633.54
  4. Step 4: Simplify right side
    998.62x = 949,385.03
  5. Step 5: Solve for x
    x = 949,385.03/998.62
  6. Step 6: Final answer
    x = 950.70

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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.