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Finding the Fourth Proportional to 1,069.20, 1,476.23 and 789.45

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Solution

The fourth proportional to 1,069.20, 1,476.23 and 789.45 is: 1,089.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.20 : 1,476.23 = 789.45 : x
  2. Step 2: Convert to fraction form
    1,069.20/1,476.23 = 789.45/x
  3. Step 3: Cross multiply
    1,069.20x = 1,476.23 × 789.45
  4. Step 4: Simplify right side
    1,069.20x = 1,165,400.29
  5. Step 5: Solve for x
    x = 1,165,400.29/1,069.20
  6. Step 6: Final answer
    x = 1,089.97

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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.