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Finding the Fourth Proportional to 998.76, 1,498.80 and 512.13

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Solution

The fourth proportional to 998.76, 1,498.80 and 512.13 is: 768.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.76 : 1,498.80 = 512.13 : x
  2. Step 2: Convert to fraction form
    998.76/1,498.80 = 512.13/x
  3. Step 3: Cross multiply
    998.76x = 1,498.80 × 512.13
  4. Step 4: Simplify right side
    998.76x = 767,580.44
  5. Step 5: Solve for x
    x = 767,580.44/998.76
  6. Step 6: Final answer
    x = 768.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.