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Finding the Fourth Proportional to 1,106.29, 1,659.73 and 326.26

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Solution

The fourth proportional to 1,106.29, 1,659.73 and 326.26 is: 489.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.29 : 1,659.73 = 326.26 : x
  2. Step 2: Convert to fraction form
    1,106.29/1,659.73 = 326.26/x
  3. Step 3: Cross multiply
    1,106.29x = 1,659.73 × 326.26
  4. Step 4: Simplify right side
    1,106.29x = 541,508.83
  5. Step 5: Solve for x
    x = 541,508.83/1,106.29
  6. Step 6: Final answer
    x = 489.48

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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.