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Finding the Fourth Proportional to 741.94, 1,112.94 and 376.63

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Solution

The fourth proportional to 741.94, 1,112.94 and 376.63 is: 564.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.94 : 1,112.94 = 376.63 : x
  2. Step 2: Convert to fraction form
    741.94/1,112.94 = 376.63/x
  3. Step 3: Cross multiply
    741.94x = 1,112.94 × 376.63
  4. Step 4: Simplify right side
    741.94x = 419,163.81
  5. Step 5: Solve for x
    x = 419,163.81/741.94
  6. Step 6: Final answer
    x = 564.96

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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.