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Finding the Fourth Proportional to 1,445.22, 1,994.15 and 855.54

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Solution

The fourth proportional to 1,445.22, 1,994.15 and 855.54 is: 1,180.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.22 : 1,994.15 = 855.54 : x
  2. Step 2: Convert to fraction form
    1,445.22/1,994.15 = 855.54/x
  3. Step 3: Cross multiply
    1,445.22x = 1,994.15 × 855.54
  4. Step 4: Simplify right side
    1,445.22x = 1,706,070.81
  5. Step 5: Solve for x
    x = 1,706,070.81/1,445.22
  6. Step 6: Final answer
    x = 1,180.49

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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.