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Finding the Fourth Proportional to 872.06, 1,204.06 and 577.94

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Solution

The fourth proportional to 872.06, 1,204.06 and 577.94 is: 797.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.06 : 1,204.06 = 577.94 : x
  2. Step 2: Convert to fraction form
    872.06/1,204.06 = 577.94/x
  3. Step 3: Cross multiply
    872.06x = 1,204.06 × 577.94
  4. Step 4: Simplify right side
    872.06x = 695,874.44
  5. Step 5: Solve for x
    x = 695,874.44/872.06
  6. Step 6: Final answer
    x = 797.97

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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.