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Finding the Fourth Proportional to 799.70, 1,104.44 and 650.71

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Solution

The fourth proportional to 799.70, 1,104.44 and 650.71 is: 898.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.70 : 1,104.44 = 650.71 : x
  2. Step 2: Convert to fraction form
    799.70/1,104.44 = 650.71/x
  3. Step 3: Cross multiply
    799.70x = 1,104.44 × 650.71
  4. Step 4: Simplify right side
    799.70x = 718,665.17
  5. Step 5: Solve for x
    x = 718,665.17/799.70
  6. Step 6: Final answer
    x = 898.67

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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.