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Finding the Fourth Proportional to 683.57, 1,025.25 and 548.23

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Solution

The fourth proportional to 683.57, 1,025.25 and 548.23 is: 822.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.57 : 1,025.25 = 548.23 : x
  2. Step 2: Convert to fraction form
    683.57/1,025.25 = 548.23/x
  3. Step 3: Cross multiply
    683.57x = 1,025.25 × 548.23
  4. Step 4: Simplify right side
    683.57x = 562,072.81
  5. Step 5: Solve for x
    x = 562,072.81/683.57
  6. Step 6: Final answer
    x = 822.27

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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.