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Finding the Fourth Proportional to 1,091.57, 1,637.34 and 361.04

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Solution

The fourth proportional to 1,091.57, 1,637.34 and 361.04 is: 541.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.57 : 1,637.34 = 361.04 : x
  2. Step 2: Convert to fraction form
    1,091.57/1,637.34 = 361.04/x
  3. Step 3: Cross multiply
    1,091.57x = 1,637.34 × 361.04
  4. Step 4: Simplify right side
    1,091.57x = 591,137.05
  5. Step 5: Solve for x
    x = 591,137.05/1,091.57
  6. Step 6: Final answer
    x = 541.55

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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.