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Finding the Fourth Proportional to 1,418.83, 1,956.37 and 999.05

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Solution

The fourth proportional to 1,418.83, 1,956.37 and 999.05 is: 1,377.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.83 : 1,956.37 = 999.05 : x
  2. Step 2: Convert to fraction form
    1,418.83/1,956.37 = 999.05/x
  3. Step 3: Cross multiply
    1,418.83x = 1,956.37 × 999.05
  4. Step 4: Simplify right side
    1,418.83x = 1,954,506.56
  5. Step 5: Solve for x
    x = 1,954,506.56/1,418.83
  6. Step 6: Final answer
    x = 1,377.55

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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.