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Finding the Fourth Proportional to 1,069.33, 1,475.57 and 789.72

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Solution

The fourth proportional to 1,069.33, 1,475.57 and 789.72 is: 1,089.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.33 : 1,475.57 = 789.72 : x
  2. Step 2: Convert to fraction form
    1,069.33/1,475.57 = 789.72/x
  3. Step 3: Cross multiply
    1,069.33x = 1,475.57 × 789.72
  4. Step 4: Simplify right side
    1,069.33x = 1,165,287.14
  5. Step 5: Solve for x
    x = 1,165,287.14/1,069.33
  6. Step 6: Final answer
    x = 1,089.74

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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.