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Finding the Fourth Proportional to 1,060.46, 1,589.09 and 511.99

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Solution

The fourth proportional to 1,060.46, 1,589.09 and 511.99 is: 767.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.46 : 1,589.09 = 511.99 : x
  2. Step 2: Convert to fraction form
    1,060.46/1,589.09 = 511.99/x
  3. Step 3: Cross multiply
    1,060.46x = 1,589.09 × 511.99
  4. Step 4: Simplify right side
    1,060.46x = 813,591.66
  5. Step 5: Solve for x
    x = 813,591.66/1,060.46
  6. Step 6: Final answer
    x = 767.21

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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.