Home / 1,340.39-1,849.66-780.84

Finding the Fourth Proportional to 1,340.39, 1,849.66 and 780.84

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Solution

The fourth proportional to 1,340.39, 1,849.66 and 780.84 is: 1,077.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.39 : 1,849.66 = 780.84 : x
  2. Step 2: Convert to fraction form
    1,340.39/1,849.66 = 780.84/x
  3. Step 3: Cross multiply
    1,340.39x = 1,849.66 × 780.84
  4. Step 4: Simplify right side
    1,340.39x = 1,444,286.56
  5. Step 5: Solve for x
    x = 1,444,286.56/1,340.39
  6. Step 6: Final answer
    x = 1,077.51

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Why These Related Problems?

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