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Finding the Fourth Proportional to 650.12, 896.10 and 502.70

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Solution

The fourth proportional to 650.12, 896.10 and 502.70 is: 692.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.12 : 896.10 = 502.70 : x
  2. Step 2: Convert to fraction form
    650.12/896.10 = 502.70/x
  3. Step 3: Cross multiply
    650.12x = 896.10 × 502.70
  4. Step 4: Simplify right side
    650.12x = 450,469.47
  5. Step 5: Solve for x
    x = 450,469.47/650.12
  6. Step 6: Final answer
    x = 692.90

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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.