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Finding the Fourth Proportional to 1,173.85, 1,761.07 and 443.43

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Solution

The fourth proportional to 1,173.85, 1,761.07 and 443.43 is: 665.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.85 : 1,761.07 = 443.43 : x
  2. Step 2: Convert to fraction form
    1,173.85/1,761.07 = 443.43/x
  3. Step 3: Cross multiply
    1,173.85x = 1,761.07 × 443.43
  4. Step 4: Simplify right side
    1,173.85x = 780,911.27
  5. Step 5: Solve for x
    x = 780,911.27/1,173.85
  6. Step 6: Final answer
    x = 665.26

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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.