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Finding the Fourth Proportional to 872.73, 1,204.61 and 562.77

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Solution

The fourth proportional to 872.73, 1,204.61 and 562.77 is: 776.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.73 : 1,204.61 = 562.77 : x
  2. Step 2: Convert to fraction form
    872.73/1,204.61 = 562.77/x
  3. Step 3: Cross multiply
    872.73x = 1,204.61 × 562.77
  4. Step 4: Simplify right side
    872.73x = 677,915.56
  5. Step 5: Solve for x
    x = 677,915.56/872.73
  6. Step 6: Final answer
    x = 776.78

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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.