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Finding the Fourth Proportional to 1,069.75, 1,605.17 and 704.71

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Solution

The fourth proportional to 1,069.75, 1,605.17 and 704.71 is: 1,057.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.75 : 1,605.17 = 704.71 : x
  2. Step 2: Convert to fraction form
    1,069.75/1,605.17 = 704.71/x
  3. Step 3: Cross multiply
    1,069.75x = 1,605.17 × 704.71
  4. Step 4: Simplify right side
    1,069.75x = 1,131,179.35
  5. Step 5: Solve for x
    x = 1,131,179.35/1,069.75
  6. Step 6: Final answer
    x = 1,057.42

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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.