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Finding the Fourth Proportional to 1,418.95, 1,958.28 and 789.54

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Solution

The fourth proportional to 1,418.95, 1,958.28 and 789.54 is: 1,089.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.95 : 1,958.28 = 789.54 : x
  2. Step 2: Convert to fraction form
    1,418.95/1,958.28 = 789.54/x
  3. Step 3: Cross multiply
    1,418.95x = 1,958.28 × 789.54
  4. Step 4: Simplify right side
    1,418.95x = 1,546,140.39
  5. Step 5: Solve for x
    x = 1,546,140.39/1,418.95
  6. Step 6: Final answer
    x = 1,089.64

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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.