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Finding the Fourth Proportional to 998.00, 1,498.31 and 852.68

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Solution

The fourth proportional to 998.00, 1,498.31 and 852.68 is: 1,280.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.00 : 1,498.31 = 852.68 : x
  2. Step 2: Convert to fraction form
    998.00/1,498.31 = 852.68/x
  3. Step 3: Cross multiply
    998.00x = 1,498.31 × 852.68
  4. Step 4: Simplify right side
    998.00x = 1,277,573.61
  5. Step 5: Solve for x
    x = 1,277,573.61/998.00
  6. Step 6: Final answer
    x = 1,280.14

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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.