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Finding the Fourth Proportional to 1,195.46, 1,791.16 and 755.63

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Solution

The fourth proportional to 1,195.46, 1,791.16 and 755.63 is: 1,132.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.46 : 1,791.16 = 755.63 : x
  2. Step 2: Convert to fraction form
    1,195.46/1,791.16 = 755.63/x
  3. Step 3: Cross multiply
    1,195.46x = 1,791.16 × 755.63
  4. Step 4: Simplify right side
    1,195.46x = 1,353,454.23
  5. Step 5: Solve for x
    x = 1,353,454.23/1,195.46
  6. Step 6: Final answer
    x = 1,132.16

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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.