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Finding the Fourth Proportional to 1,025.11, 1,414.52 and 576.92

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Solution

The fourth proportional to 1,025.11, 1,414.52 and 576.92 is: 796.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.11 : 1,414.52 = 576.92 : x
  2. Step 2: Convert to fraction form
    1,025.11/1,414.52 = 576.92/x
  3. Step 3: Cross multiply
    1,025.11x = 1,414.52 × 576.92
  4. Step 4: Simplify right side
    1,025.11x = 816,065.04
  5. Step 5: Solve for x
    x = 816,065.04/1,025.11
  6. Step 6: Final answer
    x = 796.08

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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.