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Finding the Fourth Proportional to 793.28, 1,189.08 and 446.18

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Solution

The fourth proportional to 793.28, 1,189.08 and 446.18 is: 668.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.28 : 1,189.08 = 446.18 : x
  2. Step 2: Convert to fraction form
    793.28/1,189.08 = 446.18/x
  3. Step 3: Cross multiply
    793.28x = 1,189.08 × 446.18
  4. Step 4: Simplify right side
    793.28x = 530,543.71
  5. Step 5: Solve for x
    x = 530,543.71/793.28
  6. Step 6: Final answer
    x = 668.80

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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.