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Finding the Fourth Proportional to 1,170.26, 1,755.87 and 622.29

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Solution

The fourth proportional to 1,170.26, 1,755.87 and 622.29 is: 933.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.26 : 1,755.87 = 622.29 : x
  2. Step 2: Convert to fraction form
    1,170.26/1,755.87 = 622.29/x
  3. Step 3: Cross multiply
    1,170.26x = 1,755.87 × 622.29
  4. Step 4: Simplify right side
    1,170.26x = 1,092,660.34
  5. Step 5: Solve for x
    x = 1,092,660.34/1,170.26
  6. Step 6: Final answer
    x = 933.69

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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.