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Finding the Fourth Proportional to 1,228.64, 1,697.36 and 949.59

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Solution

The fourth proportional to 1,228.64, 1,697.36 and 949.59 is: 1,311.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.64 : 1,697.36 = 949.59 : x
  2. Step 2: Convert to fraction form
    1,228.64/1,697.36 = 949.59/x
  3. Step 3: Cross multiply
    1,228.64x = 1,697.36 × 949.59
  4. Step 4: Simplify right side
    1,228.64x = 1,611,791.33
  5. Step 5: Solve for x
    x = 1,611,791.33/1,228.64
  6. Step 6: Final answer
    x = 1,311.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.