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Finding the Fourth Proportional to 1,352.69, 2,029.03 and 326.69

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Solution

The fourth proportional to 1,352.69, 2,029.03 and 326.69 is: 490.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.69 : 2,029.03 = 326.69 : x
  2. Step 2: Convert to fraction form
    1,352.69/2,029.03 = 326.69/x
  3. Step 3: Cross multiply
    1,352.69x = 2,029.03 × 326.69
  4. Step 4: Simplify right side
    1,352.69x = 662,863.81
  5. Step 5: Solve for x
    x = 662,863.81/1,352.69
  6. Step 6: Final answer
    x = 490.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.