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Finding the Fourth Proportional to 998.52, 1,498.31 and 511.98

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Solution

The fourth proportional to 998.52, 1,498.31 and 511.98 is: 768.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.52 : 1,498.31 = 511.98 : x
  2. Step 2: Convert to fraction form
    998.52/1,498.31 = 511.98/x
  3. Step 3: Cross multiply
    998.52x = 1,498.31 × 511.98
  4. Step 4: Simplify right side
    998.52x = 767,101.38
  5. Step 5: Solve for x
    x = 767,101.38/998.52
  6. Step 6: Final answer
    x = 768.24

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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.