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Finding the Fourth Proportional to 1,323.70, 1,826.78 and 764.26

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Solution

The fourth proportional to 1,323.70, 1,826.78 and 764.26 is: 1,054.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.70 : 1,826.78 = 764.26 : x
  2. Step 2: Convert to fraction form
    1,323.70/1,826.78 = 764.26/x
  3. Step 3: Cross multiply
    1,323.70x = 1,826.78 × 764.26
  4. Step 4: Simplify right side
    1,323.70x = 1,396,134.88
  5. Step 5: Solve for x
    x = 1,396,134.88/1,323.70
  6. Step 6: Final answer
    x = 1,054.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.