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Finding the Fourth Proportional to 950.50, 1,311.64 and 922.54

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Solution

The fourth proportional to 950.50, 1,311.64 and 922.54 is: 1,273.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.50 : 1,311.64 = 922.54 : x
  2. Step 2: Convert to fraction form
    950.50/1,311.64 = 922.54/x
  3. Step 3: Cross multiply
    950.50x = 1,311.64 × 922.54
  4. Step 4: Simplify right side
    950.50x = 1,210,040.37
  5. Step 5: Solve for x
    x = 1,210,040.37/950.50
  6. Step 6: Final answer
    x = 1,273.06

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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.