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Finding the Fourth Proportional to 741.64, 1,112.45 and 193.81

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Solution

The fourth proportional to 741.64, 1,112.45 and 193.81 is: 290.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.64 : 1,112.45 = 193.81 : x
  2. Step 2: Convert to fraction form
    741.64/1,112.45 = 193.81/x
  3. Step 3: Cross multiply
    741.64x = 1,112.45 × 193.81
  4. Step 4: Simplify right side
    741.64x = 215,602.97
  5. Step 5: Solve for x
    x = 215,602.97/741.64
  6. Step 6: Final answer
    x = 290.71

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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.