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Finding the Fourth Proportional to 996.78, 1,495.29 and 419.58

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Solution

The fourth proportional to 996.78, 1,495.29 and 419.58 is: 629.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.78 : 1,495.29 = 419.58 : x
  2. Step 2: Convert to fraction form
    996.78/1,495.29 = 419.58/x
  3. Step 3: Cross multiply
    996.78x = 1,495.29 × 419.58
  4. Step 4: Simplify right side
    996.78x = 627,393.78
  5. Step 5: Solve for x
    x = 627,393.78/996.78
  6. Step 6: Final answer
    x = 629.42

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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.