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Finding the Fourth Proportional to 727.68, 1,091.84 and 240.80

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Solution

The fourth proportional to 727.68, 1,091.84 and 240.80 is: 361.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.68 : 1,091.84 = 240.80 : x
  2. Step 2: Convert to fraction form
    727.68/1,091.84 = 240.80/x
  3. Step 3: Cross multiply
    727.68x = 1,091.84 × 240.80
  4. Step 4: Simplify right side
    727.68x = 262,915.07
  5. Step 5: Solve for x
    x = 262,915.07/727.68
  6. Step 6: Final answer
    x = 361.31

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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.