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Finding the Fourth Proportional to 894.44, 1,349.60 and 894.44

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Solution

The fourth proportional to 894.44, 1,349.60 and 894.44 is: 1,349.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.44 : 1,349.60 = 894.44 : x
  2. Step 2: Convert to fraction form
    894.44/1,349.60 = 894.44/x
  3. Step 3: Cross multiply
    894.44x = 1,349.60 × 894.44
  4. Step 4: Simplify right side
    894.44x = 1,207,136.22
  5. Step 5: Solve for x
    x = 1,207,136.22/894.44
  6. Step 6: Final answer
    x = 1,349.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.