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Finding the Fourth Proportional to 1,368.36, 2,052.84 and 394.54

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Solution

The fourth proportional to 1,368.36, 2,052.84 and 394.54 is: 591.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.36 : 2,052.84 = 394.54 : x
  2. Step 2: Convert to fraction form
    1,368.36/2,052.84 = 394.54/x
  3. Step 3: Cross multiply
    1,368.36x = 2,052.84 × 394.54
  4. Step 4: Simplify right side
    1,368.36x = 809,923.84
  5. Step 5: Solve for x
    x = 809,923.84/1,368.36
  6. Step 6: Final answer
    x = 591.89

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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.