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Finding the Fourth Proportional to 834.24, 1,151.22 and 461.22

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Solution

The fourth proportional to 834.24, 1,151.22 and 461.22 is: 636.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.24 : 1,151.22 = 461.22 : x
  2. Step 2: Convert to fraction form
    834.24/1,151.22 = 461.22/x
  3. Step 3: Cross multiply
    834.24x = 1,151.22 × 461.22
  4. Step 4: Simplify right side
    834.24x = 530,965.69
  5. Step 5: Solve for x
    x = 530,965.69/834.24
  6. Step 6: Final answer
    x = 636.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.