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Finding the Fourth Proportional to 1,408.08, 2,112.58 and 677.72

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Solution

The fourth proportional to 1,408.08, 2,112.58 and 677.72 is: 1,016.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.08 : 2,112.58 = 677.72 : x
  2. Step 2: Convert to fraction form
    1,408.08/2,112.58 = 677.72/x
  3. Step 3: Cross multiply
    1,408.08x = 2,112.58 × 677.72
  4. Step 4: Simplify right side
    1,408.08x = 1,431,737.72
  5. Step 5: Solve for x
    x = 1,431,737.72/1,408.08
  6. Step 6: Final answer
    x = 1,016.80

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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.