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Finding the Fourth Proportional to 998.86, 1,498.74 and 414

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Solution

The fourth proportional to 998.86, 1,498.74 and 414 is: 621.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.86 : 1,498.74 = 414 : x
  2. Step 2: Convert to fraction form
    998.86/1,498.74 = 414/x
  3. Step 3: Cross multiply
    998.86x = 1,498.74 × 414
  4. Step 4: Simplify right side
    998.86x = 620,478.36
  5. Step 5: Solve for x
    x = 620,478.36/998.86
  6. Step 6: Final answer
    x = 621.19

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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.