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Finding the Fourth Proportional to 872.78, 1,199.31 and 697.82

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Solution

The fourth proportional to 872.78, 1,199.31 and 697.82 is: 958.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.78 : 1,199.31 = 697.82 : x
  2. Step 2: Convert to fraction form
    872.78/1,199.31 = 697.82/x
  3. Step 3: Cross multiply
    872.78x = 1,199.31 × 697.82
  4. Step 4: Simplify right side
    872.78x = 836,902.50
  5. Step 5: Solve for x
    x = 836,902.50/872.78
  6. Step 6: Final answer
    x = 958.89

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.