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Finding the Fourth Proportional to 748.39, 1,122.46 and 228.27

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Solution

The fourth proportional to 748.39, 1,122.46 and 228.27 is: 342.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.39 : 1,122.46 = 228.27 : x
  2. Step 2: Convert to fraction form
    748.39/1,122.46 = 228.27/x
  3. Step 3: Cross multiply
    748.39x = 1,122.46 × 228.27
  4. Step 4: Simplify right side
    748.39x = 256,223.94
  5. Step 5: Solve for x
    x = 256,223.94/748.39
  6. Step 6: Final answer
    x = 342.37

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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.