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Finding the Fourth Proportional to 1,393.60, 1,922.83 and 804.13

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Solution

The fourth proportional to 1,393.60, 1,922.83 and 804.13 is: 1,109.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.60 : 1,922.83 = 804.13 : x
  2. Step 2: Convert to fraction form
    1,393.60/1,922.83 = 804.13/x
  3. Step 3: Cross multiply
    1,393.60x = 1,922.83 × 804.13
  4. Step 4: Simplify right side
    1,393.60x = 1,546,209.29
  5. Step 5: Solve for x
    x = 1,546,209.29/1,393.60
  6. Step 6: Final answer
    x = 1,109.51

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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.