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Finding the Fourth Proportional to 804.84, 1,207.26 and 439.54

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Solution

The fourth proportional to 804.84, 1,207.26 and 439.54 is: 659.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.84 : 1,207.26 = 439.54 : x
  2. Step 2: Convert to fraction form
    804.84/1,207.26 = 439.54/x
  3. Step 3: Cross multiply
    804.84x = 1,207.26 × 439.54
  4. Step 4: Simplify right side
    804.84x = 530,639.06
  5. Step 5: Solve for x
    x = 530,639.06/804.84
  6. Step 6: Final answer
    x = 659.31

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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.