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Finding the Fourth Proportional to 1,106.25, 1,659.33 and 326.22

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Solution

The fourth proportional to 1,106.25, 1,659.33 and 326.22 is: 489.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.25 : 1,659.33 = 326.22 : x
  2. Step 2: Convert to fraction form
    1,106.25/1,659.33 = 326.22/x
  3. Step 3: Cross multiply
    1,106.25x = 1,659.33 × 326.22
  4. Step 4: Simplify right side
    1,106.25x = 541,306.63
  5. Step 5: Solve for x
    x = 541,306.63/1,106.25
  6. Step 6: Final answer
    x = 489.32

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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.