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Finding the Fourth Proportional to 1,059.48, 1,589.28 and 443.25

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Solution

The fourth proportional to 1,059.48, 1,589.28 and 443.25 is: 664.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.48 : 1,589.28 = 443.25 : x
  2. Step 2: Convert to fraction form
    1,059.48/1,589.28 = 443.25/x
  3. Step 3: Cross multiply
    1,059.48x = 1,589.28 × 443.25
  4. Step 4: Simplify right side
    1,059.48x = 704,448.36
  5. Step 5: Solve for x
    x = 704,448.36/1,059.48
  6. Step 6: Final answer
    x = 664.90

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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.