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Finding the Fourth Proportional to 800.33, 1,104.35 and 464.22

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Solution

The fourth proportional to 800.33, 1,104.35 and 464.22 is: 640.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.33 : 1,104.35 = 464.22 : x
  2. Step 2: Convert to fraction form
    800.33/1,104.35 = 464.22/x
  3. Step 3: Cross multiply
    800.33x = 1,104.35 × 464.22
  4. Step 4: Simplify right side
    800.33x = 512,659.04
  5. Step 5: Solve for x
    x = 512,659.04/800.33
  6. Step 6: Final answer
    x = 640.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.