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Finding the Fourth Proportional to 650.70, 896.49 and 502.83

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Solution

The fourth proportional to 650.70, 896.49 and 502.83 is: 692.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.70 : 896.49 = 502.83 : x
  2. Step 2: Convert to fraction form
    650.70/896.49 = 502.83/x
  3. Step 3: Cross multiply
    650.70x = 896.49 × 502.83
  4. Step 4: Simplify right side
    650.70x = 450,782.07
  5. Step 5: Solve for x
    x = 450,782.07/650.70
  6. Step 6: Final answer
    x = 692.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.