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Finding the Fourth Proportional to 909.48, 1,255.48 and 629.66

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Solution

The fourth proportional to 909.48, 1,255.48 and 629.66 is: 869.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.48 : 1,255.48 = 629.66 : x
  2. Step 2: Convert to fraction form
    909.48/1,255.48 = 629.66/x
  3. Step 3: Cross multiply
    909.48x = 1,255.48 × 629.66
  4. Step 4: Simplify right side
    909.48x = 790,525.54
  5. Step 5: Solve for x
    x = 790,525.54/909.48
  6. Step 6: Final answer
    x = 869.21

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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.