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Finding the Fourth Proportional to 1,129.72, 1,694.56 and 581.62

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Solution

The fourth proportional to 1,129.72, 1,694.56 and 581.62 is: 872.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.72 : 1,694.56 = 581.62 : x
  2. Step 2: Convert to fraction form
    1,129.72/1,694.56 = 581.62/x
  3. Step 3: Cross multiply
    1,129.72x = 1,694.56 × 581.62
  4. Step 4: Simplify right side
    1,129.72x = 985,589.99
  5. Step 5: Solve for x
    x = 985,589.99/1,129.72
  6. Step 6: Final answer
    x = 872.42

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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.