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Finding the Fourth Proportional to 1,998, 2,998.21 and 765.53

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Solution

The fourth proportional to 1,998, 2,998.21 and 765.53 is: 1,148.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998 : 2,998.21 = 765.53 : x
  2. Step 2: Convert to fraction form
    1,998/2,998.21 = 765.53/x
  3. Step 3: Cross multiply
    1,998x = 2,998.21 × 765.53
  4. Step 4: Simplify right side
    1,998x = 2,295,219.70
  5. Step 5: Solve for x
    x = 2,295,219.70/1,998
  6. Step 6: Final answer
    x = 1,148.76

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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.