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Finding the Fourth Proportional to 1,393.26, 1,922.92 and 803.99

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Solution

The fourth proportional to 1,393.26, 1,922.92 and 803.99 is: 1,109.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.26 : 1,922.92 = 803.99 : x
  2. Step 2: Convert to fraction form
    1,393.26/1,922.92 = 803.99/x
  3. Step 3: Cross multiply
    1,393.26x = 1,922.92 × 803.99
  4. Step 4: Simplify right side
    1,393.26x = 1,546,008.45
  5. Step 5: Solve for x
    x = 1,546,008.45/1,393.26
  6. Step 6: Final answer
    x = 1,109.63

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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.