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Finding the Fourth Proportional to 1,199.74, 1,645.89 and 1,188.40

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Solution

The fourth proportional to 1,199.74, 1,645.89 and 1,188.40 is: 1,630.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.74 : 1,645.89 = 1,188.40 : x
  2. Step 2: Convert to fraction form
    1,199.74/1,645.89 = 1,188.40/x
  3. Step 3: Cross multiply
    1,199.74x = 1,645.89 × 1,188.40
  4. Step 4: Simplify right side
    1,199.74x = 1,955,975.68
  5. Step 5: Solve for x
    x = 1,955,975.68/1,199.74
  6. Step 6: Final answer
    x = 1,630.33

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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.