Home / 1,497.96-2,067.13-834.78

Finding the Fourth Proportional to 1,497.96, 2,067.13 and 834.78

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Solution

The fourth proportional to 1,497.96, 2,067.13 and 834.78 is: 1,151.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.96 : 2,067.13 = 834.78 : x
  2. Step 2: Convert to fraction form
    1,497.96/2,067.13 = 834.78/x
  3. Step 3: Cross multiply
    1,497.96x = 2,067.13 × 834.78
  4. Step 4: Simplify right side
    1,497.96x = 1,725,596.69
  5. Step 5: Solve for x
    x = 1,725,596.69/1,497.96
  6. Step 6: Final answer
    x = 1,151.96

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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.