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Finding the Fourth Proportional to 802.73, 1,201.75 and 725.87

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Solution

The fourth proportional to 802.73, 1,201.75 and 725.87 is: 1,086.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.73 : 1,201.75 = 725.87 : x
  2. Step 2: Convert to fraction form
    802.73/1,201.75 = 725.87/x
  3. Step 3: Cross multiply
    802.73x = 1,201.75 × 725.87
  4. Step 4: Simplify right side
    802.73x = 872,314.27
  5. Step 5: Solve for x
    x = 872,314.27/802.73
  6. Step 6: Final answer
    x = 1,086.68

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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.