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Finding the Fourth Proportional to 1,092.21, 1,638.57 and 361.77

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Solution

The fourth proportional to 1,092.21, 1,638.57 and 361.77 is: 542.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.21 : 1,638.57 = 361.77 : x
  2. Step 2: Convert to fraction form
    1,092.21/1,638.57 = 361.77/x
  3. Step 3: Cross multiply
    1,092.21x = 1,638.57 × 361.77
  4. Step 4: Simplify right side
    1,092.21x = 592,785.47
  5. Step 5: Solve for x
    x = 592,785.47/1,092.21
  6. Step 6: Final answer
    x = 542.74

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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.