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Finding the Fourth Proportional to 1,106.63, 1,659.38 and 326.54

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Solution

The fourth proportional to 1,106.63, 1,659.38 and 326.54 is: 489.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.63 : 1,659.38 = 326.54 : x
  2. Step 2: Convert to fraction form
    1,106.63/1,659.38 = 326.54/x
  3. Step 3: Cross multiply
    1,106.63x = 1,659.38 × 326.54
  4. Step 4: Simplify right side
    1,106.63x = 541,844.02
  5. Step 5: Solve for x
    x = 541,844.02/1,106.63
  6. Step 6: Final answer
    x = 489.63

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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.