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Finding the Fourth Proportional to 1,059.60, 1,589.57 and 443.33

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Solution

The fourth proportional to 1,059.60, 1,589.57 and 443.33 is: 665.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.60 : 1,589.57 = 443.33 : x
  2. Step 2: Convert to fraction form
    1,059.60/1,589.57 = 443.33/x
  3. Step 3: Cross multiply
    1,059.60x = 1,589.57 × 443.33
  4. Step 4: Simplify right side
    1,059.60x = 704,704.07
  5. Step 5: Solve for x
    x = 704,704.07/1,059.60
  6. Step 6: Final answer
    x = 665.07

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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.