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Finding the Fourth Proportional to 799.24, 1,100.74 and 688.68

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Solution

The fourth proportional to 799.24, 1,100.74 and 688.68 is: 948.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.24 : 1,100.74 = 688.68 : x
  2. Step 2: Convert to fraction form
    799.24/1,100.74 = 688.68/x
  3. Step 3: Cross multiply
    799.24x = 1,100.74 × 688.68
  4. Step 4: Simplify right side
    799.24x = 758,057.62
  5. Step 5: Solve for x
    x = 758,057.62/799.24
  6. Step 6: Final answer
    x = 948.47

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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.