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Finding the Fourth Proportional to 1,287.88, 1,932.12 and 422.14

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Solution

The fourth proportional to 1,287.88, 1,932.12 and 422.14 is: 633.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.88 : 1,932.12 = 422.14 : x
  2. Step 2: Convert to fraction form
    1,287.88/1,932.12 = 422.14/x
  3. Step 3: Cross multiply
    1,287.88x = 1,932.12 × 422.14
  4. Step 4: Simplify right side
    1,287.88x = 815,625.14
  5. Step 5: Solve for x
    x = 815,625.14/1,287.88
  6. Step 6: Final answer
    x = 633.31

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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.