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Finding the Fourth Proportional to 1,609.40, 2,414.07 and 513.56

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Solution

The fourth proportional to 1,609.40, 2,414.07 and 513.56 is: 770.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.40 : 2,414.07 = 513.56 : x
  2. Step 2: Convert to fraction form
    1,609.40/2,414.07 = 513.56/x
  3. Step 3: Cross multiply
    1,609.40x = 2,414.07 × 513.56
  4. Step 4: Simplify right side
    1,609.40x = 1,239,757.72
  5. Step 5: Solve for x
    x = 1,239,757.72/1,609.40
  6. Step 6: Final answer
    x = 770.33

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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.