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Finding the Fourth Proportional to 748.72, 1,123.04 and 309.78

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Solution

The fourth proportional to 748.72, 1,123.04 and 309.78 is: 464.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.72 : 1,123.04 = 309.78 : x
  2. Step 2: Convert to fraction form
    748.72/1,123.04 = 309.78/x
  3. Step 3: Cross multiply
    748.72x = 1,123.04 × 309.78
  4. Step 4: Simplify right side
    748.72x = 347,896.11
  5. Step 5: Solve for x
    x = 347,896.11/748.72
  6. Step 6: Final answer
    x = 464.65

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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.