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Finding the Fourth Proportional to 727.24, 1,089.90 and 361.48

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Solution

The fourth proportional to 727.24, 1,089.90 and 361.48 is: 541.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.24 : 1,089.90 = 361.48 : x
  2. Step 2: Convert to fraction form
    727.24/1,089.90 = 361.48/x
  3. Step 3: Cross multiply
    727.24x = 1,089.90 × 361.48
  4. Step 4: Simplify right side
    727.24x = 393,977.05
  5. Step 5: Solve for x
    x = 393,977.05/727.24
  6. Step 6: Final answer
    x = 541.74

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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.