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Finding the Fourth Proportional to 1,106.42, 1,659.71 and 326.42

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Solution

The fourth proportional to 1,106.42, 1,659.71 and 326.42 is: 489.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.42 : 1,659.71 = 326.42 : x
  2. Step 2: Convert to fraction form
    1,106.42/1,659.71 = 326.42/x
  3. Step 3: Cross multiply
    1,106.42x = 1,659.71 × 326.42
  4. Step 4: Simplify right side
    1,106.42x = 541,755.06
  5. Step 5: Solve for x
    x = 541,755.06/1,106.42
  6. Step 6: Final answer
    x = 489.65

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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.