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Finding the Fourth Proportional to 1,394.56, 1,924.28 and 804.99

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Solution

The fourth proportional to 1,394.56, 1,924.28 and 804.99 is: 1,110.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.56 : 1,924.28 = 804.99 : x
  2. Step 2: Convert to fraction form
    1,394.56/1,924.28 = 804.99/x
  3. Step 3: Cross multiply
    1,394.56x = 1,924.28 × 804.99
  4. Step 4: Simplify right side
    1,394.56x = 1,549,016.54
  5. Step 5: Solve for x
    x = 1,549,016.54/1,394.56
  6. Step 6: Final answer
    x = 1,110.75

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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.