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Finding the Fourth Proportional to 1,106.55, 1,659.48 and 326.36

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Solution

The fourth proportional to 1,106.55, 1,659.48 and 326.36 is: 489.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.55 : 1,659.48 = 326.36 : x
  2. Step 2: Convert to fraction form
    1,106.55/1,659.48 = 326.36/x
  3. Step 3: Cross multiply
    1,106.55x = 1,659.48 × 326.36
  4. Step 4: Simplify right side
    1,106.55x = 541,584.59
  5. Step 5: Solve for x
    x = 541,584.59/1,106.55
  6. Step 6: Final answer
    x = 489.44

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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.