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Finding the Fourth Proportional to 1,091.39, 1,636.07 and 360.80

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Solution

The fourth proportional to 1,091.39, 1,636.07 and 360.80 is: 540.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.39 : 1,636.07 = 360.80 : x
  2. Step 2: Convert to fraction form
    1,091.39/1,636.07 = 360.80/x
  3. Step 3: Cross multiply
    1,091.39x = 1,636.07 × 360.80
  4. Step 4: Simplify right side
    1,091.39x = 590,290.21
  5. Step 5: Solve for x
    x = 590,290.21/1,091.39
  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.