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Finding the Fourth Proportional to 1,091.40, 1,636.17 and 360.78

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Solution

The fourth proportional to 1,091.40, 1,636.17 and 360.78 is: 540.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.40 : 1,636.17 = 360.78 : x
  2. Step 2: Convert to fraction form
    1,091.40/1,636.17 = 360.78/x
  3. Step 3: Cross multiply
    1,091.40x = 1,636.17 × 360.78
  4. Step 4: Simplify right side
    1,091.40x = 590,297.41
  5. Step 5: Solve for x
    x = 590,297.41/1,091.40
  6. Step 6: Final answer
    x = 540.86

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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.