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Finding the Fourth Proportional to 1,060.81, 1,589.09 and 506.05

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Solution

The fourth proportional to 1,060.81, 1,589.09 and 506.05 is: 758.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.81 : 1,589.09 = 506.05 : x
  2. Step 2: Convert to fraction form
    1,060.81/1,589.09 = 506.05/x
  3. Step 3: Cross multiply
    1,060.81x = 1,589.09 × 506.05
  4. Step 4: Simplify right side
    1,060.81x = 804,161.43
  5. Step 5: Solve for x
    x = 804,161.43/1,060.81
  6. Step 6: Final answer
    x = 758.07

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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.