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Finding the Fourth Proportional to 1,323.84, 1,826.85 and 764.34

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Solution

The fourth proportional to 1,323.84, 1,826.85 and 764.34 is: 1,054.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.84 : 1,826.85 = 764.34 : x
  2. Step 2: Convert to fraction form
    1,323.84/1,826.85 = 764.34/x
  3. Step 3: Cross multiply
    1,323.84x = 1,826.85 × 764.34
  4. Step 4: Simplify right side
    1,323.84x = 1,396,330.54
  5. Step 5: Solve for x
    x = 1,396,330.54/1,323.84
  6. Step 6: Final answer
    x = 1,054.75

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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.