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Finding the Fourth Proportional to 1,059.92, 1,589.99 and 443.99

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Solution

The fourth proportional to 1,059.92, 1,589.99 and 443.99 is: 666.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.92 : 1,589.99 = 443.99 : x
  2. Step 2: Convert to fraction form
    1,059.92/1,589.99 = 443.99/x
  3. Step 3: Cross multiply
    1,059.92x = 1,589.99 × 443.99
  4. Step 4: Simplify right side
    1,059.92x = 705,939.66
  5. Step 5: Solve for x
    x = 705,939.66/1,059.92
  6. Step 6: Final answer
    x = 666.03

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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.