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Finding the Fourth Proportional to 1,159.14, 1,738.77 and 379.22

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Solution

The fourth proportional to 1,159.14, 1,738.77 and 379.22 is: 568.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.14 : 1,738.77 = 379.22 : x
  2. Step 2: Convert to fraction form
    1,159.14/1,738.77 = 379.22/x
  3. Step 3: Cross multiply
    1,159.14x = 1,738.77 × 379.22
  4. Step 4: Simplify right side
    1,159.14x = 659,375.61
  5. Step 5: Solve for x
    x = 659,375.61/1,159.14
  6. Step 6: Final answer
    x = 568.85

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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.