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Finding the Fourth Proportional to 1,422.92, 2,134.62 and 448.94

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Solution

The fourth proportional to 1,422.92, 2,134.62 and 448.94 is: 673.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.92 : 2,134.62 = 448.94 : x
  2. Step 2: Convert to fraction form
    1,422.92/2,134.62 = 448.94/x
  3. Step 3: Cross multiply
    1,422.92x = 2,134.62 × 448.94
  4. Step 4: Simplify right side
    1,422.92x = 958,316.30
  5. Step 5: Solve for x
    x = 958,316.30/1,422.92
  6. Step 6: Final answer
    x = 673.49

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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.