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Finding the Fourth Proportional to 800.81, 1,104.79 and 464.65

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Solution

The fourth proportional to 800.81, 1,104.79 and 464.65 is: 641.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.81 : 1,104.79 = 464.65 : x
  2. Step 2: Convert to fraction form
    800.81/1,104.79 = 464.65/x
  3. Step 3: Cross multiply
    800.81x = 1,104.79 × 464.65
  4. Step 4: Simplify right side
    800.81x = 513,338.49
  5. Step 5: Solve for x
    x = 513,338.49/800.81
  6. Step 6: Final answer
    x = 641.03

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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.