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Finding the Fourth Proportional to 650.34, 976.59 and 622.26

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Solution

The fourth proportional to 650.34, 976.59 and 622.26 is: 934.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.34 : 976.59 = 622.26 : x
  2. Step 2: Convert to fraction form
    650.34/976.59 = 622.26/x
  3. Step 3: Cross multiply
    650.34x = 976.59 × 622.26
  4. Step 4: Simplify right side
    650.34x = 607,692.89
  5. Step 5: Solve for x
    x = 607,692.89/650.34
  6. Step 6: Final answer
    x = 934.42

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Why These Related Problems?

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