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Finding the Fourth Proportional to 1,199.00, 1,644.68 and 1,188.60

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Solution

The fourth proportional to 1,199.00, 1,644.68 and 1,188.60 is: 1,630.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.00 : 1,644.68 = 1,188.60 : x
  2. Step 2: Convert to fraction form
    1,199.00/1,644.68 = 1,188.60/x
  3. Step 3: Cross multiply
    1,199.00x = 1,644.68 × 1,188.60
  4. Step 4: Simplify right side
    1,199.00x = 1,954,860.71
  5. Step 5: Solve for x
    x = 1,954,860.71/1,199.00
  6. Step 6: Final answer
    x = 1,630.42

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.