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Finding the Fourth Proportional to 733.10, 1,094.43 and 622.94

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Solution

The fourth proportional to 733.10, 1,094.43 and 622.94 is: 929.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.10 : 1,094.43 = 622.94 : x
  2. Step 2: Convert to fraction form
    733.10/1,094.43 = 622.94/x
  3. Step 3: Cross multiply
    733.10x = 1,094.43 × 622.94
  4. Step 4: Simplify right side
    733.10x = 681,761.11
  5. Step 5: Solve for x
    x = 681,761.11/733.10
  6. Step 6: Final answer
    x = 929.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.