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Finding the Fourth Proportional to 840.60, 1,261.08 and 429.48

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Solution

The fourth proportional to 840.60, 1,261.08 and 429.48 is: 644.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.60 : 1,261.08 = 429.48 : x
  2. Step 2: Convert to fraction form
    840.60/1,261.08 = 429.48/x
  3. Step 3: Cross multiply
    840.60x = 1,261.08 × 429.48
  4. Step 4: Simplify right side
    840.60x = 541,608.64
  5. Step 5: Solve for x
    x = 541,608.64/840.60
  6. Step 6: Final answer
    x = 644.31

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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.