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Finding the Fourth Proportional to 869.73, 1,200.20 and 520.44

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Solution

The fourth proportional to 869.73, 1,200.20 and 520.44 is: 718.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.73 : 1,200.20 = 520.44 : x
  2. Step 2: Convert to fraction form
    869.73/1,200.20 = 520.44/x
  3. Step 3: Cross multiply
    869.73x = 1,200.20 × 520.44
  4. Step 4: Simplify right side
    869.73x = 624,629.49
  5. Step 5: Solve for x
    x = 624,629.49/869.73
  6. Step 6: Final answer
    x = 718.19

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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.