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Finding the Fourth Proportional to 1,194.51, 1,791.77 and 372.76

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Solution

The fourth proportional to 1,194.51, 1,791.77 and 372.76 is: 559.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.51 : 1,791.77 = 372.76 : x
  2. Step 2: Convert to fraction form
    1,194.51/1,791.77 = 372.76/x
  3. Step 3: Cross multiply
    1,194.51x = 1,791.77 × 372.76
  4. Step 4: Simplify right side
    1,194.51x = 667,900.19
  5. Step 5: Solve for x
    x = 667,900.19/1,194.51
  6. Step 6: Final answer
    x = 559.14

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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.