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Finding the Fourth Proportional to 1,069.58, 1,608.03 and 989.42

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Solution

The fourth proportional to 1,069.58, 1,608.03 and 989.42 is: 1,487.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.58 : 1,608.03 = 989.42 : x
  2. Step 2: Convert to fraction form
    1,069.58/1,608.03 = 989.42/x
  3. Step 3: Cross multiply
    1,069.58x = 1,608.03 × 989.42
  4. Step 4: Simplify right side
    1,069.58x = 1,591,017.04
  5. Step 5: Solve for x
    x = 1,591,017.04/1,069.58
  6. Step 6: Final answer
    x = 1,487.52

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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.