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Finding the Fourth Proportional to 872.16, 1,202.08 and 577.60

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Solution

The fourth proportional to 872.16, 1,202.08 and 577.60 is: 796.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.16 : 1,202.08 = 577.60 : x
  2. Step 2: Convert to fraction form
    872.16/1,202.08 = 577.60/x
  3. Step 3: Cross multiply
    872.16x = 1,202.08 × 577.60
  4. Step 4: Simplify right side
    872.16x = 694,321.41
  5. Step 5: Solve for x
    x = 694,321.41/872.16
  6. Step 6: Final answer
    x = 796.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.