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Finding the Fourth Proportional to 741.85, 1,112.76 and 194.04

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Solution

The fourth proportional to 741.85, 1,112.76 and 194.04 is: 291.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.85 : 1,112.76 = 194.04 : x
  2. Step 2: Convert to fraction form
    741.85/1,112.76 = 194.04/x
  3. Step 3: Cross multiply
    741.85x = 1,112.76 × 194.04
  4. Step 4: Simplify right side
    741.85x = 215,919.95
  5. Step 5: Solve for x
    x = 215,919.95/741.85
  6. Step 6: Final answer
    x = 291.06

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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.