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Finding the Fourth Proportional to 998.62, 1,496.31 and 511

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Solution

The fourth proportional to 998.62, 1,496.31 and 511 is: 765.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.62 : 1,496.31 = 511 : x
  2. Step 2: Convert to fraction form
    998.62/1,496.31 = 511/x
  3. Step 3: Cross multiply
    998.62x = 1,496.31 × 511
  4. Step 4: Simplify right side
    998.62x = 764,614.41
  5. Step 5: Solve for x
    x = 764,614.41/998.62
  6. Step 6: Final answer
    x = 765.67

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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.