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Finding the Fourth Proportional to 1,059.83, 1,589.46 and 443.41

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Solution

The fourth proportional to 1,059.83, 1,589.46 and 443.41 is: 664.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.83 : 1,589.46 = 443.41 : x
  2. Step 2: Convert to fraction form
    1,059.83/1,589.46 = 443.41/x
  3. Step 3: Cross multiply
    1,059.83x = 1,589.46 × 443.41
  4. Step 4: Simplify right side
    1,059.83x = 704,776.82
  5. Step 5: Solve for x
    x = 704,776.82/1,059.83
  6. Step 6: Final answer
    x = 664.99

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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.