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Finding the Fourth Proportional to 998.22, 1,498.02 and 511.62

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Solution

The fourth proportional to 998.22, 1,498.02 and 511.62 is: 767.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.22 : 1,498.02 = 511.62 : x
  2. Step 2: Convert to fraction form
    998.22/1,498.02 = 511.62/x
  3. Step 3: Cross multiply
    998.22x = 1,498.02 × 511.62
  4. Step 4: Simplify right side
    998.22x = 766,409.46
  5. Step 5: Solve for x
    x = 766,409.46/998.22
  6. Step 6: Final answer
    x = 767.77

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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.