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Finding the Fourth Proportional to 1,175.82, 1,763.52 and 445.23

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Solution

The fourth proportional to 1,175.82, 1,763.52 and 445.23 is: 667.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.82 : 1,763.52 = 445.23 : x
  2. Step 2: Convert to fraction form
    1,175.82/1,763.52 = 445.23/x
  3. Step 3: Cross multiply
    1,175.82x = 1,763.52 × 445.23
  4. Step 4: Simplify right side
    1,175.82x = 785,172.01
  5. Step 5: Solve for x
    x = 785,172.01/1,175.82
  6. Step 6: Final answer
    x = 667.77

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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.