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Finding the Fourth Proportional to 804.91, 1,207.36 and 440.41

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Solution

The fourth proportional to 804.91, 1,207.36 and 440.41 is: 660.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.91 : 1,207.36 = 440.41 : x
  2. Step 2: Convert to fraction form
    804.91/1,207.36 = 440.41/x
  3. Step 3: Cross multiply
    804.91x = 1,207.36 × 440.41
  4. Step 4: Simplify right side
    804.91x = 531,733.42
  5. Step 5: Solve for x
    x = 531,733.42/804.91
  6. Step 6: Final answer
    x = 660.61

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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.