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Finding the Fourth Proportional to 1,059.95, 1,589.97 and 329.54

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Solution

The fourth proportional to 1,059.95, 1,589.97 and 329.54 is: 494.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.95 : 1,589.97 = 329.54 : x
  2. Step 2: Convert to fraction form
    1,059.95/1,589.97 = 329.54/x
  3. Step 3: Cross multiply
    1,059.95x = 1,589.97 × 329.54
  4. Step 4: Simplify right side
    1,059.95x = 523,958.71
  5. Step 5: Solve for x
    x = 523,958.71/1,059.95
  6. Step 6: Final answer
    x = 494.32

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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.