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Finding the Fourth Proportional to 998.94, 1,498.74 and 511.86

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Solution

The fourth proportional to 998.94, 1,498.74 and 511.86 is: 767.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.94 : 1,498.74 = 511.86 : x
  2. Step 2: Convert to fraction form
    998.94/1,498.74 = 511.86/x
  3. Step 3: Cross multiply
    998.94x = 1,498.74 × 511.86
  4. Step 4: Simplify right side
    998.94x = 767,145.06
  5. Step 5: Solve for x
    x = 767,145.06/998.94
  6. Step 6: Final answer
    x = 767.96

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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.