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Finding the Fourth Proportional to 857.88, 1,286.55 and 419.04

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Solution

The fourth proportional to 857.88, 1,286.55 and 419.04 is: 628.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.88 : 1,286.55 = 419.04 : x
  2. Step 2: Convert to fraction form
    857.88/1,286.55 = 419.04/x
  3. Step 3: Cross multiply
    857.88x = 1,286.55 × 419.04
  4. Step 4: Simplify right side
    857.88x = 539,115.91
  5. Step 5: Solve for x
    x = 539,115.91/857.88
  6. Step 6: Final answer
    x = 628.43

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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.