Home / 1,454.10-2,180.39-713.39

Finding the Fourth Proportional to 1,454.10, 2,180.39 and 713.39

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Solution

The fourth proportional to 1,454.10, 2,180.39 and 713.39 is: 1,069.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.10 : 2,180.39 = 713.39 : x
  2. Step 2: Convert to fraction form
    1,454.10/2,180.39 = 713.39/x
  3. Step 3: Cross multiply
    1,454.10x = 2,180.39 × 713.39
  4. Step 4: Simplify right side
    1,454.10x = 1,555,460.74
  5. Step 5: Solve for x
    x = 1,555,460.74/1,454.10
  6. Step 6: Final answer
    x = 1,069.71

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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.