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Finding the Fourth Proportional to 998.69, 1,498.13 and 382.91

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Solution

The fourth proportional to 998.69, 1,498.13 and 382.91 is: 574.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.69 : 1,498.13 = 382.91 : x
  2. Step 2: Convert to fraction form
    998.69/1,498.13 = 382.91/x
  3. Step 3: Cross multiply
    998.69x = 1,498.13 × 382.91
  4. Step 4: Simplify right side
    998.69x = 573,648.96
  5. Step 5: Solve for x
    x = 573,648.96/998.69
  6. Step 6: Final answer
    x = 574.40

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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.