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Finding the Fourth Proportional to 843.41, 1,268.12 and 735.89

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Solution

The fourth proportional to 843.41, 1,268.12 and 735.89 is: 1,106.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.41 : 1,268.12 = 735.89 : x
  2. Step 2: Convert to fraction form
    843.41/1,268.12 = 735.89/x
  3. Step 3: Cross multiply
    843.41x = 1,268.12 × 735.89
  4. Step 4: Simplify right side
    843.41x = 933,192.33
  5. Step 5: Solve for x
    x = 933,192.33/843.41
  6. Step 6: Final answer
    x = 1,106.45

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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.