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Finding the Fourth Proportional to 876.24, 1,311.12 and 629.46

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Solution

The fourth proportional to 876.24, 1,311.12 and 629.46 is: 941.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.24 : 1,311.12 = 629.46 : x
  2. Step 2: Convert to fraction form
    876.24/1,311.12 = 629.46/x
  3. Step 3: Cross multiply
    876.24x = 1,311.12 × 629.46
  4. Step 4: Simplify right side
    876.24x = 825,297.60
  5. Step 5: Solve for x
    x = 825,297.60/876.24
  6. Step 6: Final answer
    x = 941.86

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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.