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Finding the Fourth Proportional to 1,326.23, 1,830.23 and 759.03

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Solution

The fourth proportional to 1,326.23, 1,830.23 and 759.03 is: 1,047.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.23 : 1,830.23 = 759.03 : x
  2. Step 2: Convert to fraction form
    1,326.23/1,830.23 = 759.03/x
  3. Step 3: Cross multiply
    1,326.23x = 1,830.23 × 759.03
  4. Step 4: Simplify right side
    1,326.23x = 1,389,195.68
  5. Step 5: Solve for x
    x = 1,389,195.68/1,326.23
  6. Step 6: Final answer
    x = 1,047.48

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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.