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Finding the Fourth Proportional to 805.44, 1,207.78 and 285.28

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Solution

The fourth proportional to 805.44, 1,207.78 and 285.28 is: 427.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.44 : 1,207.78 = 285.28 : x
  2. Step 2: Convert to fraction form
    805.44/1,207.78 = 285.28/x
  3. Step 3: Cross multiply
    805.44x = 1,207.78 × 285.28
  4. Step 4: Simplify right side
    805.44x = 344,555.48
  5. Step 5: Solve for x
    x = 344,555.48/805.44
  6. Step 6: Final answer
    x = 427.79

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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.