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Finding the Fourth Proportional to 1,059.87, 1,589.75 and 443.25

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Solution

The fourth proportional to 1,059.87, 1,589.75 and 443.25 is: 664.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.87 : 1,589.75 = 443.25 : x
  2. Step 2: Convert to fraction form
    1,059.87/1,589.75 = 443.25/x
  3. Step 3: Cross multiply
    1,059.87x = 1,589.75 × 443.25
  4. Step 4: Simplify right side
    1,059.87x = 704,654.47
  5. Step 5: Solve for x
    x = 704,654.47/1,059.87
  6. Step 6: Final answer
    x = 664.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.