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Finding the Fourth Proportional to 941.06, 1,297.89 and 662.22

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Solution

The fourth proportional to 941.06, 1,297.89 and 662.22 is: 913.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.06 : 1,297.89 = 662.22 : x
  2. Step 2: Convert to fraction form
    941.06/1,297.89 = 662.22/x
  3. Step 3: Cross multiply
    941.06x = 1,297.89 × 662.22
  4. Step 4: Simplify right side
    941.06x = 859,486.33
  5. Step 5: Solve for x
    x = 859,486.33/941.06
  6. Step 6: Final answer
    x = 913.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.