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Finding the Fourth Proportional to 1,445.09, 1,994.24 and 855.50

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Solution

The fourth proportional to 1,445.09, 1,994.24 and 855.50 is: 1,180.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.09 : 1,994.24 = 855.50 : x
  2. Step 2: Convert to fraction form
    1,445.09/1,994.24 = 855.50/x
  3. Step 3: Cross multiply
    1,445.09x = 1,994.24 × 855.50
  4. Step 4: Simplify right side
    1,445.09x = 1,706,079.44
  5. Step 5: Solve for x
    x = 1,706,079.44/1,445.09
  6. Step 6: Final answer
    x = 1,180.61

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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.