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Finding the Fourth Proportional to 1,106.52, 1,659.78 and 326.53

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Solution

The fourth proportional to 1,106.52, 1,659.78 and 326.53 is: 489.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.52 : 1,659.78 = 326.53 : x
  2. Step 2: Convert to fraction form
    1,106.52/1,659.78 = 326.53/x
  3. Step 3: Cross multiply
    1,106.52x = 1,659.78 × 326.53
  4. Step 4: Simplify right side
    1,106.52x = 541,975.62
  5. Step 5: Solve for x
    x = 541,975.62/1,106.52
  6. Step 6: Final answer
    x = 489.80

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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.