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Finding the Fourth Proportional to 998.05, 1,498.45 and 689.14

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Solution

The fourth proportional to 998.05, 1,498.45 and 689.14 is: 1,034.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.05 : 1,498.45 = 689.14 : x
  2. Step 2: Convert to fraction form
    998.05/1,498.45 = 689.14/x
  3. Step 3: Cross multiply
    998.05x = 1,498.45 × 689.14
  4. Step 4: Simplify right side
    998.05x = 1,032,641.83
  5. Step 5: Solve for x
    x = 1,032,641.83/998.05
  6. Step 6: Final answer
    x = 1,034.66

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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.