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Finding the Fourth Proportional to 748.56, 1,123.32 and 310.16

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Solution

The fourth proportional to 748.56, 1,123.32 and 310.16 is: 465.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.56 : 1,123.32 = 310.16 : x
  2. Step 2: Convert to fraction form
    748.56/1,123.32 = 310.16/x
  3. Step 3: Cross multiply
    748.56x = 1,123.32 × 310.16
  4. Step 4: Simplify right side
    748.56x = 348,408.93
  5. Step 5: Solve for x
    x = 348,408.93/748.56
  6. Step 6: Final answer
    x = 465.44

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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.