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Finding the Fourth Proportional to 1,205.46, 1,806.97 and 475.55

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Solution

The fourth proportional to 1,205.46, 1,806.97 and 475.55 is: 712.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.46 : 1,806.97 = 475.55 : x
  2. Step 2: Convert to fraction form
    1,205.46/1,806.97 = 475.55/x
  3. Step 3: Cross multiply
    1,205.46x = 1,806.97 × 475.55
  4. Step 4: Simplify right side
    1,205.46x = 859,304.58
  5. Step 5: Solve for x
    x = 859,304.58/1,205.46
  6. Step 6: Final answer
    x = 712.84

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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.