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Finding the Fourth Proportional to 1,194.36, 1,778.16 and 1,188.59

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Solution

The fourth proportional to 1,194.36, 1,778.16 and 1,188.59 is: 1,769.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.36 : 1,778.16 = 1,188.59 : x
  2. Step 2: Convert to fraction form
    1,194.36/1,778.16 = 1,188.59/x
  3. Step 3: Cross multiply
    1,194.36x = 1,778.16 × 1,188.59
  4. Step 4: Simplify right side
    1,194.36x = 2,113,503.19
  5. Step 5: Solve for x
    x = 2,113,503.19/1,194.36
  6. Step 6: Final answer
    x = 1,769.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.