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Finding the Fourth Proportional to 1,091.13, 1,635.94 and 360.60

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Solution

The fourth proportional to 1,091.13, 1,635.94 and 360.60 is: 540.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.13 : 1,635.94 = 360.60 : x
  2. Step 2: Convert to fraction form
    1,091.13/1,635.94 = 360.60/x
  3. Step 3: Cross multiply
    1,091.13x = 1,635.94 × 360.60
  4. Step 4: Simplify right side
    1,091.13x = 589,919.96
  5. Step 5: Solve for x
    x = 589,919.96/1,091.13
  6. Step 6: Final answer
    x = 540.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.