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Finding the Fourth Proportional to 1,286.43, 1,928.03 and 636

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Solution

The fourth proportional to 1,286.43, 1,928.03 and 636 is: 953.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.43 : 1,928.03 = 636 : x
  2. Step 2: Convert to fraction form
    1,286.43/1,928.03 = 636/x
  3. Step 3: Cross multiply
    1,286.43x = 1,928.03 × 636
  4. Step 4: Simplify right side
    1,286.43x = 1,226,223.90
  5. Step 5: Solve for x
    x = 1,226,223.90/1,286.43
  6. Step 6: Final answer
    x = 953.20

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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.