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Finding the Fourth Proportional to 950.45, 1,311.10 and 577.57

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Solution

The fourth proportional to 950.45, 1,311.10 and 577.57 is: 796.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.45 : 1,311.10 = 577.57 : x
  2. Step 2: Convert to fraction form
    950.45/1,311.10 = 577.57/x
  3. Step 3: Cross multiply
    950.45x = 1,311.10 × 577.57
  4. Step 4: Simplify right side
    950.45x = 757,252.03
  5. Step 5: Solve for x
    x = 757,252.03/950.45
  6. Step 6: Final answer
    x = 796.73

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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.