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Finding the Fourth Proportional to 1,393.92, 1,923.62 and 764.42

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Solution

The fourth proportional to 1,393.92, 1,923.62 and 764.42 is: 1,054.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.92 : 1,923.62 = 764.42 : x
  2. Step 2: Convert to fraction form
    1,393.92/1,923.62 = 764.42/x
  3. Step 3: Cross multiply
    1,393.92x = 1,923.62 × 764.42
  4. Step 4: Simplify right side
    1,393.92x = 1,470,453.60
  5. Step 5: Solve for x
    x = 1,470,453.60/1,393.92
  6. Step 6: Final answer
    x = 1,054.91

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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.