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Finding the Fourth Proportional to 834.16, 1,251.36 and 400.96

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Solution

The fourth proportional to 834.16, 1,251.36 and 400.96 is: 601.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.16 : 1,251.36 = 400.96 : x
  2. Step 2: Convert to fraction form
    834.16/1,251.36 = 400.96/x
  3. Step 3: Cross multiply
    834.16x = 1,251.36 × 400.96
  4. Step 4: Simplify right side
    834.16x = 501,745.31
  5. Step 5: Solve for x
    x = 501,745.31/834.16
  6. Step 6: Final answer
    x = 601.50

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Why These Related Problems?

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