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Finding the Fourth Proportional to 1,205.14, 1,806.90 and 743.80

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Solution

The fourth proportional to 1,205.14, 1,806.90 and 743.80 is: 1,115.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.14 : 1,806.90 = 743.80 : x
  2. Step 2: Convert to fraction form
    1,205.14/1,806.90 = 743.80/x
  3. Step 3: Cross multiply
    1,205.14x = 1,806.90 × 743.80
  4. Step 4: Simplify right side
    1,205.14x = 1,343,972.22
  5. Step 5: Solve for x
    x = 1,343,972.22/1,205.14
  6. Step 6: Final answer
    x = 1,115.20

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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.