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Finding the Fourth Proportional to 804.67, 1,207.34 and 393.81

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Solution

The fourth proportional to 804.67, 1,207.34 and 393.81 is: 590.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.67 : 1,207.34 = 393.81 : x
  2. Step 2: Convert to fraction form
    804.67/1,207.34 = 393.81/x
  3. Step 3: Cross multiply
    804.67x = 1,207.34 × 393.81
  4. Step 4: Simplify right side
    804.67x = 475,462.57
  5. Step 5: Solve for x
    x = 475,462.57/804.67
  6. Step 6: Final answer
    x = 590.88

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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.