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Finding the Fourth Proportional to 1,394.28, 1,924.12 and 764.81

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Solution

The fourth proportional to 1,394.28, 1,924.12 and 764.81 is: 1,055.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.28 : 1,924.12 = 764.81 : x
  2. Step 2: Convert to fraction form
    1,394.28/1,924.12 = 764.81/x
  3. Step 3: Cross multiply
    1,394.28x = 1,924.12 × 764.81
  4. Step 4: Simplify right side
    1,394.28x = 1,471,584.77
  5. Step 5: Solve for x
    x = 1,471,584.77/1,394.28
  6. Step 6: Final answer
    x = 1,055.44

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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.