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Finding the Fourth Proportional to 1,323.44, 1,826.34 and 763.90

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Solution

The fourth proportional to 1,323.44, 1,826.34 and 763.90 is: 1,054.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.44 : 1,826.34 = 763.90 : x
  2. Step 2: Convert to fraction form
    1,323.44/1,826.34 = 763.90/x
  3. Step 3: Cross multiply
    1,323.44x = 1,826.34 × 763.90
  4. Step 4: Simplify right side
    1,323.44x = 1,395,141.13
  5. Step 5: Solve for x
    x = 1,395,141.13/1,323.44
  6. Step 6: Final answer
    x = 1,054.18

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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.