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Finding the Fourth Proportional to 1,194.75, 1,792.26 and 329.09

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Solution

The fourth proportional to 1,194.75, 1,792.26 and 329.09 is: 493.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.75 : 1,792.26 = 329.09 : x
  2. Step 2: Convert to fraction form
    1,194.75/1,792.26 = 329.09/x
  3. Step 3: Cross multiply
    1,194.75x = 1,792.26 × 329.09
  4. Step 4: Simplify right side
    1,194.75x = 589,805.88
  5. Step 5: Solve for x
    x = 589,805.88/1,194.75
  6. Step 6: Final answer
    x = 493.66

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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.