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Finding the Fourth Proportional to 998.39, 1,498.05 and 511.79

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Solution

The fourth proportional to 998.39, 1,498.05 and 511.79 is: 767.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.39 : 1,498.05 = 511.79 : x
  2. Step 2: Convert to fraction form
    998.39/1,498.05 = 511.79/x
  3. Step 3: Cross multiply
    998.39x = 1,498.05 × 511.79
  4. Step 4: Simplify right side
    998.39x = 766,680.96
  5. Step 5: Solve for x
    x = 766,680.96/998.39
  6. Step 6: Final answer
    x = 767.92

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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.