Home / 1,078.27-1,617.11-298.09

Finding the Fourth Proportional to 1,078.27, 1,617.11 and 298.09

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Solution

The fourth proportional to 1,078.27, 1,617.11 and 298.09 is: 447.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.27 : 1,617.11 = 298.09 : x
  2. Step 2: Convert to fraction form
    1,078.27/1,617.11 = 298.09/x
  3. Step 3: Cross multiply
    1,078.27x = 1,617.11 × 298.09
  4. Step 4: Simplify right side
    1,078.27x = 482,036.23
  5. Step 5: Solve for x
    x = 482,036.23/1,078.27
  6. Step 6: Final answer
    x = 447.05

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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.