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Finding the Fourth Proportional to 1,396.94, 1,928.37 and 942.79

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Solution

The fourth proportional to 1,396.94, 1,928.37 and 942.79 is: 1,301.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.94 : 1,928.37 = 942.79 : x
  2. Step 2: Convert to fraction form
    1,396.94/1,928.37 = 942.79/x
  3. Step 3: Cross multiply
    1,396.94x = 1,928.37 × 942.79
  4. Step 4: Simplify right side
    1,396.94x = 1,818,047.75
  5. Step 5: Solve for x
    x = 1,818,047.75/1,396.94
  6. Step 6: Final answer
    x = 1,301.45

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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.