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Finding the Fourth Proportional to 1,106.19, 1,659.08 and 326.23

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Solution

The fourth proportional to 1,106.19, 1,659.08 and 326.23 is: 489.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.19 : 1,659.08 = 326.23 : x
  2. Step 2: Convert to fraction form
    1,106.19/1,659.08 = 326.23/x
  3. Step 3: Cross multiply
    1,106.19x = 1,659.08 × 326.23
  4. Step 4: Simplify right side
    1,106.19x = 541,241.63
  5. Step 5: Solve for x
    x = 541,241.63/1,106.19
  6. Step 6: Final answer
    x = 489.28

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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.