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Finding the Fourth Proportional to 1,188.73, 1,640.55 and 664.75

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Solution

The fourth proportional to 1,188.73, 1,640.55 and 664.75 is: 917.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.73 : 1,640.55 = 664.75 : x
  2. Step 2: Convert to fraction form
    1,188.73/1,640.55 = 664.75/x
  3. Step 3: Cross multiply
    1,188.73x = 1,640.55 × 664.75
  4. Step 4: Simplify right side
    1,188.73x = 1,090,555.61
  5. Step 5: Solve for x
    x = 1,090,555.61/1,188.73
  6. Step 6: Final answer
    x = 917.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.