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Finding the Fourth Proportional to 748.32, 1,122.96 and 650.88

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Solution

The fourth proportional to 748.32, 1,122.96 and 650.88 is: 976.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.32 : 1,122.96 = 650.88 : x
  2. Step 2: Convert to fraction form
    748.32/1,122.96 = 650.88/x
  3. Step 3: Cross multiply
    748.32x = 1,122.96 × 650.88
  4. Step 4: Simplify right side
    748.32x = 730,912.20
  5. Step 5: Solve for x
    x = 730,912.20/748.32
  6. Step 6: Final answer
    x = 976.74

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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.