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Finding the Fourth Proportional to 1,323.25, 1,825.80 and 799.18

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Solution

The fourth proportional to 1,323.25, 1,825.80 and 799.18 is: 1,102.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.25 : 1,825.80 = 799.18 : x
  2. Step 2: Convert to fraction form
    1,323.25/1,825.80 = 799.18/x
  3. Step 3: Cross multiply
    1,323.25x = 1,825.80 × 799.18
  4. Step 4: Simplify right side
    1,323.25x = 1,459,142.84
  5. Step 5: Solve for x
    x = 1,459,142.84/1,323.25
  6. Step 6: Final answer
    x = 1,102.70

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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.