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Finding the Fourth Proportional to 834.64, 1,151.74 and 461.53

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Solution

The fourth proportional to 834.64, 1,151.74 and 461.53 is: 636.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.64 : 1,151.74 = 461.53 : x
  2. Step 2: Convert to fraction form
    834.64/1,151.74 = 461.53/x
  3. Step 3: Cross multiply
    834.64x = 1,151.74 × 461.53
  4. Step 4: Simplify right side
    834.64x = 531,560.25
  5. Step 5: Solve for x
    x = 531,560.25/834.64
  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.