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Finding the Fourth Proportional to 1,286.95, 1,930.41 and 409.43

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Solution

The fourth proportional to 1,286.95, 1,930.41 and 409.43 is: 614.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.95 : 1,930.41 = 409.43 : x
  2. Step 2: Convert to fraction form
    1,286.95/1,930.41 = 409.43/x
  3. Step 3: Cross multiply
    1,286.95x = 1,930.41 × 409.43
  4. Step 4: Simplify right side
    1,286.95x = 790,367.77
  5. Step 5: Solve for x
    x = 790,367.77/1,286.95
  6. Step 6: Final answer
    x = 614.14

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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.