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Finding the Fourth Proportional to 840.97, 1,261.05 and 353.35

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Solution

The fourth proportional to 840.97, 1,261.05 and 353.35 is: 529.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.97 : 1,261.05 = 353.35 : x
  2. Step 2: Convert to fraction form
    840.97/1,261.05 = 353.35/x
  3. Step 3: Cross multiply
    840.97x = 1,261.05 × 353.35
  4. Step 4: Simplify right side
    840.97x = 445,592.02
  5. Step 5: Solve for x
    x = 445,592.02/840.97
  6. Step 6: Final answer
    x = 529.85

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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.