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Finding the Fourth Proportional to 1,059.94, 1,589.91 and 329.59

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Solution

The fourth proportional to 1,059.94, 1,589.91 and 329.59 is: 494.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.94 : 1,589.91 = 329.59 : x
  2. Step 2: Convert to fraction form
    1,059.94/1,589.91 = 329.59/x
  3. Step 3: Cross multiply
    1,059.94x = 1,589.91 × 329.59
  4. Step 4: Simplify right side
    1,059.94x = 524,018.44
  5. Step 5: Solve for x
    x = 524,018.44/1,059.94
  6. Step 6: Final answer
    x = 494.39

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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.