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Finding the Fourth Proportional to 948.90, 1,309.45 and 550.54

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Solution

The fourth proportional to 948.90, 1,309.45 and 550.54 is: 759.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.90 : 1,309.45 = 550.54 : x
  2. Step 2: Convert to fraction form
    948.90/1,309.45 = 550.54/x
  3. Step 3: Cross multiply
    948.90x = 1,309.45 × 550.54
  4. Step 4: Simplify right side
    948.90x = 720,906.19
  5. Step 5: Solve for x
    x = 720,906.19/948.90
  6. Step 6: Final answer
    x = 759.73

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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.