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Finding the Fourth Proportional to 838.91, 1,159.22 and 629.80

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Solution

The fourth proportional to 838.91, 1,159.22 and 629.80 is: 870.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.91 : 1,159.22 = 629.80 : x
  2. Step 2: Convert to fraction form
    838.91/1,159.22 = 629.80/x
  3. Step 3: Cross multiply
    838.91x = 1,159.22 × 629.80
  4. Step 4: Simplify right side
    838.91x = 730,076.76
  5. Step 5: Solve for x
    x = 730,076.76/838.91
  6. Step 6: Final answer
    x = 870.27

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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.