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Finding the Fourth Proportional to 1,609.91, 2,414.39 and 513.98

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Solution

The fourth proportional to 1,609.91, 2,414.39 and 513.98 is: 770.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.91 : 2,414.39 = 513.98 : x
  2. Step 2: Convert to fraction form
    1,609.91/2,414.39 = 513.98/x
  3. Step 3: Cross multiply
    1,609.91x = 2,414.39 × 513.98
  4. Step 4: Simplify right side
    1,609.91x = 1,240,933.53
  5. Step 5: Solve for x
    x = 1,240,933.53/1,609.91
  6. Step 6: Final answer
    x = 770.81

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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.