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Finding the Fourth Proportional to 994.96, 1,490.82 and 788.41

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Solution

The fourth proportional to 994.96, 1,490.82 and 788.41 is: 1,181.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.96 : 1,490.82 = 788.41 : x
  2. Step 2: Convert to fraction form
    994.96/1,490.82 = 788.41/x
  3. Step 3: Cross multiply
    994.96x = 1,490.82 × 788.41
  4. Step 4: Simplify right side
    994.96x = 1,175,377.40
  5. Step 5: Solve for x
    x = 1,175,377.40/994.96
  6. Step 6: Final answer
    x = 1,181.33

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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.