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Finding the Fourth Proportional to 998.37, 1,498.14 and 382.13

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Solution

The fourth proportional to 998.37, 1,498.14 and 382.13 is: 573.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.37 : 1,498.14 = 382.13 : x
  2. Step 2: Convert to fraction form
    998.37/1,498.14 = 382.13/x
  3. Step 3: Cross multiply
    998.37x = 1,498.14 × 382.13
  4. Step 4: Simplify right side
    998.37x = 572,478.86
  5. Step 5: Solve for x
    x = 572,478.86/998.37
  6. Step 6: Final answer
    x = 573.41

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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.