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Finding the Fourth Proportional to 834.23, 1,151.31 and 461.27

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Solution

The fourth proportional to 834.23, 1,151.31 and 461.27 is: 636.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.23 : 1,151.31 = 461.27 : x
  2. Step 2: Convert to fraction form
    834.23/1,151.31 = 461.27/x
  3. Step 3: Cross multiply
    834.23x = 1,151.31 × 461.27
  4. Step 4: Simplify right side
    834.23x = 531,064.76
  5. Step 5: Solve for x
    x = 531,064.76/834.23
  6. Step 6: Final answer
    x = 636.59

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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.