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Finding the Fourth Proportional to 1,192.74, 1,789.33 and 452.57

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Solution

The fourth proportional to 1,192.74, 1,789.33 and 452.57 is: 678.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.74 : 1,789.33 = 452.57 : x
  2. Step 2: Convert to fraction form
    1,192.74/1,789.33 = 452.57/x
  3. Step 3: Cross multiply
    1,192.74x = 1,789.33 × 452.57
  4. Step 4: Simplify right side
    1,192.74x = 809,785.87
  5. Step 5: Solve for x
    x = 809,785.87/1,192.74
  6. Step 6: Final answer
    x = 678.93

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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.