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Finding the Fourth Proportional to 697.43, 1,044.77 and 422.70

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Solution

The fourth proportional to 697.43, 1,044.77 and 422.70 is: 633.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.43 : 1,044.77 = 422.70 : x
  2. Step 2: Convert to fraction form
    697.43/1,044.77 = 422.70/x
  3. Step 3: Cross multiply
    697.43x = 1,044.77 × 422.70
  4. Step 4: Simplify right side
    697.43x = 441,622.17
  5. Step 5: Solve for x
    x = 441,622.17/697.43
  6. Step 6: Final answer
    x = 633.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.