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Finding the Fourth Proportional to 840.82, 1,261.23 and 255.83

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Solution

The fourth proportional to 840.82, 1,261.23 and 255.83 is: 383.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.82 : 1,261.23 = 255.83 : x
  2. Step 2: Convert to fraction form
    840.82/1,261.23 = 255.83/x
  3. Step 3: Cross multiply
    840.82x = 1,261.23 × 255.83
  4. Step 4: Simplify right side
    840.82x = 322,654.64
  5. Step 5: Solve for x
    x = 322,654.64/840.82
  6. Step 6: Final answer
    x = 383.74

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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.