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Finding the Fourth Proportional to 1,323.29, 1,825.67 and 799.13

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Solution

The fourth proportional to 1,323.29, 1,825.67 and 799.13 is: 1,102.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.29 : 1,825.67 = 799.13 : x
  2. Step 2: Convert to fraction form
    1,323.29/1,825.67 = 799.13/x
  3. Step 3: Cross multiply
    1,323.29x = 1,825.67 × 799.13
  4. Step 4: Simplify right side
    1,323.29x = 1,458,943.67
  5. Step 5: Solve for x
    x = 1,458,943.67/1,323.29
  6. Step 6: Final answer
    x = 1,102.51

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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.