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Finding the Fourth Proportional to 650.30, 902.14 and 644.22

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Solution

The fourth proportional to 650.30, 902.14 and 644.22 is: 893.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.30 : 902.14 = 644.22 : x
  2. Step 2: Convert to fraction form
    650.30/902.14 = 644.22/x
  3. Step 3: Cross multiply
    650.30x = 902.14 × 644.22
  4. Step 4: Simplify right side
    650.30x = 581,175.02
  5. Step 5: Solve for x
    x = 581,175.02/650.30
  6. Step 6: Final answer
    x = 893.71

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.