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Finding the Fourth Proportional to 950.08, 1,311.24 and 601.78

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Solution

The fourth proportional to 950.08, 1,311.24 and 601.78 is: 830.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.08 : 1,311.24 = 601.78 : x
  2. Step 2: Convert to fraction form
    950.08/1,311.24 = 601.78/x
  3. Step 3: Cross multiply
    950.08x = 1,311.24 × 601.78
  4. Step 4: Simplify right side
    950.08x = 789,078.01
  5. Step 5: Solve for x
    x = 789,078.01/950.08
  6. Step 6: Final answer
    x = 830.54

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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.