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Finding the Fourth Proportional to 1,422.84, 2,134.30 and 449.63

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Solution

The fourth proportional to 1,422.84, 2,134.30 and 449.63 is: 674.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.84 : 2,134.30 = 449.63 : x
  2. Step 2: Convert to fraction form
    1,422.84/2,134.30 = 449.63/x
  3. Step 3: Cross multiply
    1,422.84x = 2,134.30 × 449.63
  4. Step 4: Simplify right side
    1,422.84x = 959,645.31
  5. Step 5: Solve for x
    x = 959,645.31/1,422.84
  6. Step 6: Final answer
    x = 674.46

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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.