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Finding the Fourth Proportional to 1,092.57, 1,637.91 and 361.68

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Solution

The fourth proportional to 1,092.57, 1,637.91 and 361.68 is: 542.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.57 : 1,637.91 = 361.68 : x
  2. Step 2: Convert to fraction form
    1,092.57/1,637.91 = 361.68/x
  3. Step 3: Cross multiply
    1,092.57x = 1,637.91 × 361.68
  4. Step 4: Simplify right side
    1,092.57x = 592,399.29
  5. Step 5: Solve for x
    x = 592,399.29/1,092.57
  6. Step 6: Final answer
    x = 542.21

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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.