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Finding the Fourth Proportional to 1,422.49, 2,134.42 and 643.05

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Solution

The fourth proportional to 1,422.49, 2,134.42 and 643.05 is: 964.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.49 : 2,134.42 = 643.05 : x
  2. Step 2: Convert to fraction form
    1,422.49/2,134.42 = 643.05/x
  3. Step 3: Cross multiply
    1,422.49x = 2,134.42 × 643.05
  4. Step 4: Simplify right side
    1,422.49x = 1,372,538.78
  5. Step 5: Solve for x
    x = 1,372,538.78/1,422.49
  6. Step 6: Final answer
    x = 964.88

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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.