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Finding the Fourth Proportional to 834.24, 1,151.24 and 461.21

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Solution

The fourth proportional to 834.24, 1,151.24 and 461.21 is: 636.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.24 : 1,151.24 = 461.21 : x
  2. Step 2: Convert to fraction form
    834.24/1,151.24 = 461.21/x
  3. Step 3: Cross multiply
    834.24x = 1,151.24 × 461.21
  4. Step 4: Simplify right side
    834.24x = 530,963.97
  5. Step 5: Solve for x
    x = 530,963.97/834.24
  6. Step 6: Final answer
    x = 636.46

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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.