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Finding the Fourth Proportional to 1,059.89, 1,589.96 and 329.47

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Solution

The fourth proportional to 1,059.89, 1,589.96 and 329.47 is: 494.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.89 : 1,589.96 = 329.47 : x
  2. Step 2: Convert to fraction form
    1,059.89/1,589.96 = 329.47/x
  3. Step 3: Cross multiply
    1,059.89x = 1,589.96 × 329.47
  4. Step 4: Simplify right side
    1,059.89x = 523,840.97
  5. Step 5: Solve for x
    x = 523,840.97/1,059.89
  6. Step 6: Final answer
    x = 494.24

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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.