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Finding the Fourth Proportional to 1,100.86, 1,651.29 and 443.04

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Solution

The fourth proportional to 1,100.86, 1,651.29 and 443.04 is: 664.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.86 : 1,651.29 = 443.04 : x
  2. Step 2: Convert to fraction form
    1,100.86/1,651.29 = 443.04/x
  3. Step 3: Cross multiply
    1,100.86x = 1,651.29 × 443.04
  4. Step 4: Simplify right side
    1,100.86x = 731,587.52
  5. Step 5: Solve for x
    x = 731,587.52/1,100.86
  6. Step 6: Final answer
    x = 664.56

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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.