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Finding the Fourth Proportional to 727.62, 1,091.22 and 453.84

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Solution

The fourth proportional to 727.62, 1,091.22 and 453.84 is: 680.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.62 : 1,091.22 = 453.84 : x
  2. Step 2: Convert to fraction form
    727.62/1,091.22 = 453.84/x
  3. Step 3: Cross multiply
    727.62x = 1,091.22 × 453.84
  4. Step 4: Simplify right side
    727.62x = 495,239.28
  5. Step 5: Solve for x
    x = 495,239.28/727.62
  6. Step 6: Final answer
    x = 680.63

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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.