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Finding the Fourth Proportional to 1,195.25, 1,789.63 and 616.91

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Solution

The fourth proportional to 1,195.25, 1,789.63 and 616.91 is: 923.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.25 : 1,789.63 = 616.91 : x
  2. Step 2: Convert to fraction form
    1,195.25/1,789.63 = 616.91/x
  3. Step 3: Cross multiply
    1,195.25x = 1,789.63 × 616.91
  4. Step 4: Simplify right side
    1,195.25x = 1,104,028.61
  5. Step 5: Solve for x
    x = 1,104,028.61/1,195.25
  6. Step 6: Final answer
    x = 923.68

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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.