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Finding the Fourth Proportional to 1,175.62, 1,622.37 and 733.44

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Solution

The fourth proportional to 1,175.62, 1,622.37 and 733.44 is: 1,012.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.62 : 1,622.37 = 733.44 : x
  2. Step 2: Convert to fraction form
    1,175.62/1,622.37 = 733.44/x
  3. Step 3: Cross multiply
    1,175.62x = 1,622.37 × 733.44
  4. Step 4: Simplify right side
    1,175.62x = 1,189,911.05
  5. Step 5: Solve for x
    x = 1,189,911.05/1,175.62
  6. Step 6: Final answer
    x = 1,012.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.