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Finding the Fourth Proportional to 834.26, 1,151.25 and 461.23

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Solution

The fourth proportional to 834.26, 1,151.25 and 461.23 is: 636.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.26 : 1,151.25 = 461.23 : x
  2. Step 2: Convert to fraction form
    834.26/1,151.25 = 461.23/x
  3. Step 3: Cross multiply
    834.26x = 1,151.25 × 461.23
  4. Step 4: Simplify right side
    834.26x = 530,992.91
  5. Step 5: Solve for x
    x = 530,992.91/834.26
  6. Step 6: Final answer
    x = 636.49

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Double scale
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1.5x scale

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.