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Finding the Fourth Proportional to 1,059.42, 1,589.27 and 329.05

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Solution

The fourth proportional to 1,059.42, 1,589.27 and 329.05 is: 493.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.42 : 1,589.27 = 329.05 : x
  2. Step 2: Convert to fraction form
    1,059.42/1,589.27 = 329.05/x
  3. Step 3: Cross multiply
    1,059.42x = 1,589.27 × 329.05
  4. Step 4: Simplify right side
    1,059.42x = 522,949.29
  5. Step 5: Solve for x
    x = 522,949.29/1,059.42
  6. Step 6: Final answer
    x = 493.62

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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.