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Finding the Fourth Proportional to 735.86, 1,106.26 and 732.26

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Solution

The fourth proportional to 735.86, 1,106.26 and 732.26 is: 1,100.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.86 : 1,106.26 = 732.26 : x
  2. Step 2: Convert to fraction form
    735.86/1,106.26 = 732.26/x
  3. Step 3: Cross multiply
    735.86x = 1,106.26 × 732.26
  4. Step 4: Simplify right side
    735.86x = 810,069.95
  5. Step 5: Solve for x
    x = 810,069.95/735.86
  6. Step 6: Final answer
    x = 1,100.85

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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.