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Finding the Fourth Proportional to 748.86, 1,123.34 and 228.90

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Solution

The fourth proportional to 748.86, 1,123.34 and 228.90 is: 343.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.86 : 1,123.34 = 228.90 : x
  2. Step 2: Convert to fraction form
    748.86/1,123.34 = 228.90/x
  3. Step 3: Cross multiply
    748.86x = 1,123.34 × 228.90
  4. Step 4: Simplify right side
    748.86x = 257,132.53
  5. Step 5: Solve for x
    x = 257,132.53/748.86
  6. Step 6: Final answer
    x = 343.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.