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Finding the Fourth Proportional to 834.14, 1,151.04 and 461.10

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Solution

The fourth proportional to 834.14, 1,151.04 and 461.10 is: 636.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.14 : 1,151.04 = 461.10 : x
  2. Step 2: Convert to fraction form
    834.14/1,151.04 = 461.10/x
  3. Step 3: Cross multiply
    834.14x = 1,151.04 × 461.10
  4. Step 4: Simplify right side
    834.14x = 530,744.54
  5. Step 5: Solve for x
    x = 530,744.54/834.14
  6. Step 6: Final answer
    x = 636.28

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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.