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Finding the Fourth Proportional to 1,089.89, 1,631.07 and 673.25

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Solution

The fourth proportional to 1,089.89, 1,631.07 and 673.25 is: 1,007.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.89 : 1,631.07 = 673.25 : x
  2. Step 2: Convert to fraction form
    1,089.89/1,631.07 = 673.25/x
  3. Step 3: Cross multiply
    1,089.89x = 1,631.07 × 673.25
  4. Step 4: Simplify right side
    1,089.89x = 1,098,109.72
  5. Step 5: Solve for x
    x = 1,098,109.72/1,089.89
  6. Step 6: Final answer
    x = 1,007.55

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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.