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Finding the Fourth Proportional to 1,175.70, 1,763.37 and 445.26

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Solution

The fourth proportional to 1,175.70, 1,763.37 and 445.26 is: 667.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.70 : 1,763.37 = 445.26 : x
  2. Step 2: Convert to fraction form
    1,175.70/1,763.37 = 445.26/x
  3. Step 3: Cross multiply
    1,175.70x = 1,763.37 × 445.26
  4. Step 4: Simplify right side
    1,175.70x = 785,158.13
  5. Step 5: Solve for x
    x = 785,158.13/1,175.70
  6. Step 6: Final answer
    x = 667.82

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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.