Home / 1,178.14-1,767.21-811.83

Finding the Fourth Proportional to 1,178.14, 1,767.21 and 811.83

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Solution

The fourth proportional to 1,178.14, 1,767.21 and 811.83 is: 1,217.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.14 : 1,767.21 = 811.83 : x
  2. Step 2: Convert to fraction form
    1,178.14/1,767.21 = 811.83/x
  3. Step 3: Cross multiply
    1,178.14x = 1,767.21 × 811.83
  4. Step 4: Simplify right side
    1,178.14x = 1,434,665.26
  5. Step 5: Solve for x
    x = 1,434,665.26/1,178.14
  6. Step 6: Final answer
    x = 1,217.74

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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.