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Finding the Fourth Proportional to 733.46, 1,009.67 and 650.43

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Solution

The fourth proportional to 733.46, 1,009.67 and 650.43 is: 895.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.46 : 1,009.67 = 650.43 : x
  2. Step 2: Convert to fraction form
    733.46/1,009.67 = 650.43/x
  3. Step 3: Cross multiply
    733.46x = 1,009.67 × 650.43
  4. Step 4: Simplify right side
    733.46x = 656,716.41
  5. Step 5: Solve for x
    x = 656,716.41/733.46
  6. Step 6: Final answer
    x = 895.37

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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.