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Finding the Fourth Proportional to 834.54, 1,151.64 and 461.50

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Solution

The fourth proportional to 834.54, 1,151.64 and 461.50 is: 636.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.54 : 1,151.64 = 461.50 : x
  2. Step 2: Convert to fraction form
    834.54/1,151.64 = 461.50/x
  3. Step 3: Cross multiply
    834.54x = 1,151.64 × 461.50
  4. Step 4: Simplify right side
    834.54x = 531,481.86
  5. Step 5: Solve for x
    x = 531,481.86/834.54
  6. Step 6: Final answer
    x = 636.86

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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.