Home / 1,180.26-1,630.41-945.76

Finding the Fourth Proportional to 1,180.26, 1,630.41 and 945.76

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Solution

The fourth proportional to 1,180.26, 1,630.41 and 945.76 is: 1,306.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.26 : 1,630.41 = 945.76 : x
  2. Step 2: Convert to fraction form
    1,180.26/1,630.41 = 945.76/x
  3. Step 3: Cross multiply
    1,180.26x = 1,630.41 × 945.76
  4. Step 4: Simplify right side
    1,180.26x = 1,541,976.56
  5. Step 5: Solve for x
    x = 1,541,976.56/1,180.26
  6. Step 6: Final answer
    x = 1,306.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.