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Finding the Fourth Proportional to 840.64, 1,261.37 and 353.83

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Solution

The fourth proportional to 840.64, 1,261.37 and 353.83 is: 530.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.64 : 1,261.37 = 353.83 : x
  2. Step 2: Convert to fraction form
    840.64/1,261.37 = 353.83/x
  3. Step 3: Cross multiply
    840.64x = 1,261.37 × 353.83
  4. Step 4: Simplify right side
    840.64x = 446,310.55
  5. Step 5: Solve for x
    x = 446,310.55/840.64
  6. Step 6: Final answer
    x = 530.92

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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.