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Finding the Fourth Proportional to 1,393.57, 1,923.29 and 804.09

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Solution

The fourth proportional to 1,393.57, 1,923.29 and 804.09 is: 1,109.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.57 : 1,923.29 = 804.09 : x
  2. Step 2: Convert to fraction form
    1,393.57/1,923.29 = 804.09/x
  3. Step 3: Cross multiply
    1,393.57x = 1,923.29 × 804.09
  4. Step 4: Simplify right side
    1,393.57x = 1,546,508.99
  5. Step 5: Solve for x
    x = 1,546,508.99/1,393.57
  6. Step 6: Final answer
    x = 1,109.75

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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.