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Finding the Fourth Proportional to 1,060.50, 1,589.94 and 329.64

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Solution

The fourth proportional to 1,060.50, 1,589.94 and 329.64 is: 494.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.50 : 1,589.94 = 329.64 : x
  2. Step 2: Convert to fraction form
    1,060.50/1,589.94 = 329.64/x
  3. Step 3: Cross multiply
    1,060.50x = 1,589.94 × 329.64
  4. Step 4: Simplify right side
    1,060.50x = 524,107.82
  5. Step 5: Solve for x
    x = 524,107.82/1,060.50
  6. Step 6: Final answer
    x = 494.21

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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.