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Finding the Fourth Proportional to 909.78, 1,255.32 and 629.56

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Solution

The fourth proportional to 909.78, 1,255.32 and 629.56 is: 868.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.78 : 1,255.32 = 629.56 : x
  2. Step 2: Convert to fraction form
    909.78/1,255.32 = 629.56/x
  3. Step 3: Cross multiply
    909.78x = 1,255.32 × 629.56
  4. Step 4: Simplify right side
    909.78x = 790,299.26
  5. Step 5: Solve for x
    x = 790,299.26/909.78
  6. Step 6: Final answer
    x = 868.67

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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.