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Finding the Fourth Proportional to 834.11, 1,151.07 and 461.07

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Solution

The fourth proportional to 834.11, 1,151.07 and 461.07 is: 636.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.11 : 1,151.07 = 461.07 : x
  2. Step 2: Convert to fraction form
    834.11/1,151.07 = 461.07/x
  3. Step 3: Cross multiply
    834.11x = 1,151.07 × 461.07
  4. Step 4: Simplify right side
    834.11x = 530,723.84
  5. Step 5: Solve for x
    x = 530,723.84/834.11
  6. Step 6: Final answer
    x = 636.28

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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.