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Finding the Fourth Proportional to 1,301.33, 1,795.91 and 804.26

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Solution

The fourth proportional to 1,301.33, 1,795.91 and 804.26 is: 1,109.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.33 : 1,795.91 = 804.26 : x
  2. Step 2: Convert to fraction form
    1,301.33/1,795.91 = 804.26/x
  3. Step 3: Cross multiply
    1,301.33x = 1,795.91 × 804.26
  4. Step 4: Simplify right side
    1,301.33x = 1,444,379.05
  5. Step 5: Solve for x
    x = 1,444,379.05/1,301.33
  6. Step 6: Final answer
    x = 1,109.92

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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.