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Finding the Fourth Proportional to 748.56, 1,123.74 and 596.28

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Solution

The fourth proportional to 748.56, 1,123.74 and 596.28 is: 895.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.56 : 1,123.74 = 596.28 : x
  2. Step 2: Convert to fraction form
    748.56/1,123.74 = 596.28/x
  3. Step 3: Cross multiply
    748.56x = 1,123.74 × 596.28
  4. Step 4: Simplify right side
    748.56x = 670,063.69
  5. Step 5: Solve for x
    x = 670,063.69/748.56
  6. Step 6: Final answer
    x = 895.14

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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.