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Finding the Fourth Proportional to 1,445.27, 1,994.63 and 855.80

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Solution

The fourth proportional to 1,445.27, 1,994.63 and 855.80 is: 1,181.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.27 : 1,994.63 = 855.80 : x
  2. Step 2: Convert to fraction form
    1,445.27/1,994.63 = 855.80/x
  3. Step 3: Cross multiply
    1,445.27x = 1,994.63 × 855.80
  4. Step 4: Simplify right side
    1,445.27x = 1,706,990.10
  5. Step 5: Solve for x
    x = 1,706,990.10/1,445.27
  6. Step 6: Final answer
    x = 1,181.09

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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.