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Finding the Fourth Proportional to 1,323.72, 1,826.81 and 764.26

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Solution

The fourth proportional to 1,323.72, 1,826.81 and 764.26 is: 1,054.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.72 : 1,826.81 = 764.26 : x
  2. Step 2: Convert to fraction form
    1,323.72/1,826.81 = 764.26/x
  3. Step 3: Cross multiply
    1,323.72x = 1,826.81 × 764.26
  4. Step 4: Simplify right side
    1,323.72x = 1,396,157.81
  5. Step 5: Solve for x
    x = 1,396,157.81/1,323.72
  6. Step 6: Final answer
    x = 1,054.72

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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.