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Finding the Fourth Proportional to 1,089.22, 1,633.79 and 267.47

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Solution

The fourth proportional to 1,089.22, 1,633.79 and 267.47 is: 401.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.22 : 1,633.79 = 267.47 : x
  2. Step 2: Convert to fraction form
    1,089.22/1,633.79 = 267.47/x
  3. Step 3: Cross multiply
    1,089.22x = 1,633.79 × 267.47
  4. Step 4: Simplify right side
    1,089.22x = 436,988.47
  5. Step 5: Solve for x
    x = 436,988.47/1,089.22
  6. Step 6: Final answer
    x = 401.20

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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.