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Finding the Fourth Proportional to 804.23, 1,204.75 and 392.13

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Solution

The fourth proportional to 804.23, 1,204.75 and 392.13 is: 587.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.23 : 1,204.75 = 392.13 : x
  2. Step 2: Convert to fraction form
    804.23/1,204.75 = 392.13/x
  3. Step 3: Cross multiply
    804.23x = 1,204.75 × 392.13
  4. Step 4: Simplify right side
    804.23x = 472,418.62
  5. Step 5: Solve for x
    x = 472,418.62/804.23
  6. Step 6: Final answer
    x = 587.42

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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.