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Finding the Fourth Proportional to 834.50, 1,151.69 and 461.53

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Solution

The fourth proportional to 834.50, 1,151.69 and 461.53 is: 636.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.50 : 1,151.69 = 461.53 : x
  2. Step 2: Convert to fraction form
    834.50/1,151.69 = 461.53/x
  3. Step 3: Cross multiply
    834.50x = 1,151.69 × 461.53
  4. Step 4: Simplify right side
    834.50x = 531,538.62
  5. Step 5: Solve for x
    x = 531,538.62/834.50
  6. Step 6: Final answer
    x = 636.95

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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.