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Finding the Fourth Proportional to 834, 1,150.90 and 460.99

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Solution

The fourth proportional to 834, 1,150.90 and 460.99 is: 636.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    834 : 1,150.90 = 460.99 : x
  2. Step 2: Convert to fraction form
    834/1,150.90 = 460.99/x
  3. Step 3: Cross multiply
    834x = 1,150.90 × 460.99
  4. Step 4: Simplify right side
    834x = 530,553.39
  5. Step 5: Solve for x
    x = 530,553.39/834
  6. Step 6: Final answer
    x = 636.16

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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.