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Finding the Fourth Proportional to 671.82, 1,006.37 and 427.47

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Solution

The fourth proportional to 671.82, 1,006.37 and 427.47 is: 640.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.82 : 1,006.37 = 427.47 : x
  2. Step 2: Convert to fraction form
    671.82/1,006.37 = 427.47/x
  3. Step 3: Cross multiply
    671.82x = 1,006.37 × 427.47
  4. Step 4: Simplify right side
    671.82x = 430,192.98
  5. Step 5: Solve for x
    x = 430,192.98/671.82
  6. Step 6: Final answer
    x = 640.34

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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.