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Finding the Fourth Proportional to 1,096.60, 1,644.90 and 968.60

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Solution

The fourth proportional to 1,096.60, 1,644.90 and 968.60 is: 1,452.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.60 : 1,644.90 = 968.60 : x
  2. Step 2: Convert to fraction form
    1,096.60/1,644.90 = 968.60/x
  3. Step 3: Cross multiply
    1,096.60x = 1,644.90 × 968.60
  4. Step 4: Simplify right side
    1,096.60x = 1,593,250.14
  5. Step 5: Solve for x
    x = 1,593,250.14/1,096.60
  6. Step 6: Final answer
    x = 1,452.90

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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.