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Finding the Fourth Proportional to 727.10, 1,089.86 and 239.80

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Solution

The fourth proportional to 727.10, 1,089.86 and 239.80 is: 359.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.10 : 1,089.86 = 239.80 : x
  2. Step 2: Convert to fraction form
    727.10/1,089.86 = 239.80/x
  3. Step 3: Cross multiply
    727.10x = 1,089.86 × 239.80
  4. Step 4: Simplify right side
    727.10x = 261,348.43
  5. Step 5: Solve for x
    x = 261,348.43/727.10
  6. Step 6: Final answer
    x = 359.44

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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.