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Finding the Fourth Proportional to 998.60, 1,498.68 and 512.08

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Solution

The fourth proportional to 998.60, 1,498.68 and 512.08 is: 768.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.60 : 1,498.68 = 512.08 : x
  2. Step 2: Convert to fraction form
    998.60/1,498.68 = 512.08/x
  3. Step 3: Cross multiply
    998.60x = 1,498.68 × 512.08
  4. Step 4: Simplify right side
    998.60x = 767,444.05
  5. Step 5: Solve for x
    x = 767,444.05/998.60
  6. Step 6: Final answer
    x = 768.52

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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.