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Finding the Fourth Proportional to 1,419.50, 1,958.94 and 1,064.78

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Solution

The fourth proportional to 1,419.50, 1,958.94 and 1,064.78 is: 1,469.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.50 : 1,958.94 = 1,064.78 : x
  2. Step 2: Convert to fraction form
    1,419.50/1,958.94 = 1,064.78/x
  3. Step 3: Cross multiply
    1,419.50x = 1,958.94 × 1,064.78
  4. Step 4: Simplify right side
    1,419.50x = 2,085,840.13
  5. Step 5: Solve for x
    x = 2,085,840.13/1,419.50
  6. Step 6: Final answer
    x = 1,469.42

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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.