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Finding the Fourth Proportional to 949.05, 1,422.83 and 461.97

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Solution

The fourth proportional to 949.05, 1,422.83 and 461.97 is: 692.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.05 : 1,422.83 = 461.97 : x
  2. Step 2: Convert to fraction form
    949.05/1,422.83 = 461.97/x
  3. Step 3: Cross multiply
    949.05x = 1,422.83 × 461.97
  4. Step 4: Simplify right side
    949.05x = 657,305.93
  5. Step 5: Solve for x
    x = 657,305.93/949.05
  6. Step 6: Final answer
    x = 692.59

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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.