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Finding the Fourth Proportional to 727.19, 1,089.81 and 361.88

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Solution

The fourth proportional to 727.19, 1,089.81 and 361.88 is: 542.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.19 : 1,089.81 = 361.88 : x
  2. Step 2: Convert to fraction form
    727.19/1,089.81 = 361.88/x
  3. Step 3: Cross multiply
    727.19x = 1,089.81 × 361.88
  4. Step 4: Simplify right side
    727.19x = 394,374.99
  5. Step 5: Solve for x
    x = 394,374.99/727.19
  6. Step 6: Final answer
    x = 542.33

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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.