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Finding the Fourth Proportional to 1,614.33, 2,419.91 and 517.96

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Solution

The fourth proportional to 1,614.33, 2,419.91 and 517.96 is: 776.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.33 : 2,419.91 = 517.96 : x
  2. Step 2: Convert to fraction form
    1,614.33/2,419.91 = 517.96/x
  3. Step 3: Cross multiply
    1,614.33x = 2,419.91 × 517.96
  4. Step 4: Simplify right side
    1,614.33x = 1,253,418.96
  5. Step 5: Solve for x
    x = 1,253,418.96/1,614.33
  6. Step 6: Final answer
    x = 776.43

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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.