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Finding the Fourth Proportional to 998.50, 1,498 and 314.50

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Solution

The fourth proportional to 998.50, 1,498 and 314.50 is: 471.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.50 : 1,498 = 314.50 : x
  2. Step 2: Convert to fraction form
    998.50/1,498 = 314.50/x
  3. Step 3: Cross multiply
    998.50x = 1,498 × 314.50
  4. Step 4: Simplify right side
    998.50x = 471,121
  5. Step 5: Solve for x
    x = 471,121/998.50
  6. Step 6: Final answer
    x = 471.83

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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.