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Finding the Fourth Proportional to 1,194.89, 1,791.99 and 414.86

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Solution

The fourth proportional to 1,194.89, 1,791.99 and 414.86 is: 622.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.89 : 1,791.99 = 414.86 : x
  2. Step 2: Convert to fraction form
    1,194.89/1,791.99 = 414.86/x
  3. Step 3: Cross multiply
    1,194.89x = 1,791.99 × 414.86
  4. Step 4: Simplify right side
    1,194.89x = 743,416.01
  5. Step 5: Solve for x
    x = 743,416.01/1,194.89
  6. Step 6: Final answer
    x = 622.17

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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.