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Finding the Fourth Proportional to 1,059.87, 1,590.12 and 329.43

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Solution

The fourth proportional to 1,059.87, 1,590.12 and 329.43 is: 494.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.87 : 1,590.12 = 329.43 : x
  2. Step 2: Convert to fraction form
    1,059.87/1,590.12 = 329.43/x
  3. Step 3: Cross multiply
    1,059.87x = 1,590.12 × 329.43
  4. Step 4: Simplify right side
    1,059.87x = 523,833.23
  5. Step 5: Solve for x
    x = 523,833.23/1,059.87
  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.