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Finding the Fourth Proportional to 998.40, 1,497.36 and 511.20

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Solution

The fourth proportional to 998.40, 1,497.36 and 511.20 is: 766.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.40 : 1,497.36 = 511.20 : x
  2. Step 2: Convert to fraction form
    998.40/1,497.36 = 511.20/x
  3. Step 3: Cross multiply
    998.40x = 1,497.36 × 511.20
  4. Step 4: Simplify right side
    998.40x = 765,450.43
  5. Step 5: Solve for x
    x = 765,450.43/998.40
  6. Step 6: Final answer
    x = 766.68

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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.