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Finding the Fourth Proportional to 806.29, 1,209.44 and 441.01

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Solution

The fourth proportional to 806.29, 1,209.44 and 441.01 is: 661.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.29 : 1,209.44 = 441.01 : x
  2. Step 2: Convert to fraction form
    806.29/1,209.44 = 441.01/x
  3. Step 3: Cross multiply
    806.29x = 1,209.44 × 441.01
  4. Step 4: Simplify right side
    806.29x = 533,375.13
  5. Step 5: Solve for x
    x = 533,375.13/806.29
  6. Step 6: Final answer
    x = 661.52

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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.