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Finding the Fourth Proportional to 834.45, 1,151.57 and 461.50

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Solution

The fourth proportional to 834.45, 1,151.57 and 461.50 is: 636.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.45 : 1,151.57 = 461.50 : x
  2. Step 2: Convert to fraction form
    834.45/1,151.57 = 461.50/x
  3. Step 3: Cross multiply
    834.45x = 1,151.57 × 461.50
  4. Step 4: Simplify right side
    834.45x = 531,445.23
  5. Step 5: Solve for x
    x = 531,445.23/834.45
  6. Step 6: Final answer
    x = 636.88

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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.