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Finding the Fourth Proportional to 1,197.04, 1,797.33 and 736.75

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Solution

The fourth proportional to 1,197.04, 1,797.33 and 736.75 is: 1,106.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.04 : 1,797.33 = 736.75 : x
  2. Step 2: Convert to fraction form
    1,197.04/1,797.33 = 736.75/x
  3. Step 3: Cross multiply
    1,197.04x = 1,797.33 × 736.75
  4. Step 4: Simplify right side
    1,197.04x = 1,324,172.60
  5. Step 5: Solve for x
    x = 1,324,172.60/1,197.04
  6. Step 6: Final answer
    x = 1,106.21

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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.