Home / 1,159.12-1,738.82-379.20

Finding the Fourth Proportional to 1,159.12, 1,738.82 and 379.20

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Solution

The fourth proportional to 1,159.12, 1,738.82 and 379.20 is: 568.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.12 : 1,738.82 = 379.20 : x
  2. Step 2: Convert to fraction form
    1,159.12/1,738.82 = 379.20/x
  3. Step 3: Cross multiply
    1,159.12x = 1,738.82 × 379.20
  4. Step 4: Simplify right side
    1,159.12x = 659,360.54
  5. Step 5: Solve for x
    x = 659,360.54/1,159.12
  6. Step 6: Final answer
    x = 568.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.