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Finding the Fourth Proportional to 1,194.45, 1,791.74 and 638.93

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Solution

The fourth proportional to 1,194.45, 1,791.74 and 638.93 is: 958.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.45 : 1,791.74 = 638.93 : x
  2. Step 2: Convert to fraction form
    1,194.45/1,791.74 = 638.93/x
  3. Step 3: Cross multiply
    1,194.45x = 1,791.74 × 638.93
  4. Step 4: Simplify right side
    1,194.45x = 1,144,797.72
  5. Step 5: Solve for x
    x = 1,144,797.72/1,194.45
  6. Step 6: Final answer
    x = 958.43

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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.