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Finding the Fourth Proportional to 1,169.48, 1,609.05 and 888.09

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Solution

The fourth proportional to 1,169.48, 1,609.05 and 888.09 is: 1,221.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.48 : 1,609.05 = 888.09 : x
  2. Step 2: Convert to fraction form
    1,169.48/1,609.05 = 888.09/x
  3. Step 3: Cross multiply
    1,169.48x = 1,609.05 × 888.09
  4. Step 4: Simplify right side
    1,169.48x = 1,428,968.73
  5. Step 5: Solve for x
    x = 1,428,968.73/1,169.48
  6. Step 6: Final answer
    x = 1,221.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.