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Finding the Fourth Proportional to 834.05, 1,251.09 and 401.51

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Solution

The fourth proportional to 834.05, 1,251.09 and 401.51 is: 602.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.05 : 1,251.09 = 401.51 : x
  2. Step 2: Convert to fraction form
    834.05/1,251.09 = 401.51/x
  3. Step 3: Cross multiply
    834.05x = 1,251.09 × 401.51
  4. Step 4: Simplify right side
    834.05x = 502,328.27
  5. Step 5: Solve for x
    x = 502,328.27/834.05
  6. Step 6: Final answer
    x = 602.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.