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Finding the Fourth Proportional to 840.92, 1,261.44 and 292.97

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Solution

The fourth proportional to 840.92, 1,261.44 and 292.97 is: 439.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.92 : 1,261.44 = 292.97 : x
  2. Step 2: Convert to fraction form
    840.92/1,261.44 = 292.97/x
  3. Step 3: Cross multiply
    840.92x = 1,261.44 × 292.97
  4. Step 4: Simplify right side
    840.92x = 369,567.23
  5. Step 5: Solve for x
    x = 369,567.23/840.92
  6. Step 6: Final answer
    x = 439.48

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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.