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Finding the Fourth Proportional to 828.60, 1,241.57 and 608.20

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Solution

The fourth proportional to 828.60, 1,241.57 and 608.20 is: 911.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.60 : 1,241.57 = 608.20 : x
  2. Step 2: Convert to fraction form
    828.60/1,241.57 = 608.20/x
  3. Step 3: Cross multiply
    828.60x = 1,241.57 × 608.20
  4. Step 4: Simplify right side
    828.60x = 755,122.87
  5. Step 5: Solve for x
    x = 755,122.87/828.60
  6. Step 6: Final answer
    x = 911.32

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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.