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Finding the Fourth Proportional to 1,060.80, 1,591.78 and 411.56

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Solution

The fourth proportional to 1,060.80, 1,591.78 and 411.56 is: 617.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.80 : 1,591.78 = 411.56 : x
  2. Step 2: Convert to fraction form
    1,060.80/1,591.78 = 411.56/x
  3. Step 3: Cross multiply
    1,060.80x = 1,591.78 × 411.56
  4. Step 4: Simplify right side
    1,060.80x = 655,112.98
  5. Step 5: Solve for x
    x = 655,112.98/1,060.80
  6. Step 6: Final answer
    x = 617.57

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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.