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Finding the Fourth Proportional to 735.82, 1,104.95 and 704.23

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Solution

The fourth proportional to 735.82, 1,104.95 and 704.23 is: 1,057.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.82 : 1,104.95 = 704.23 : x
  2. Step 2: Convert to fraction form
    735.82/1,104.95 = 704.23/x
  3. Step 3: Cross multiply
    735.82x = 1,104.95 × 704.23
  4. Step 4: Simplify right side
    735.82x = 778,138.94
  5. Step 5: Solve for x
    x = 778,138.94/735.82
  6. Step 6: Final answer
    x = 1,057.51

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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.