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Finding the Fourth Proportional to 894.33, 1,235.36 and 745.44

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Solution

The fourth proportional to 894.33, 1,235.36 and 745.44 is: 1,029.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.33 : 1,235.36 = 745.44 : x
  2. Step 2: Convert to fraction form
    894.33/1,235.36 = 745.44/x
  3. Step 3: Cross multiply
    894.33x = 1,235.36 × 745.44
  4. Step 4: Simplify right side
    894.33x = 920,881.42
  5. Step 5: Solve for x
    x = 920,881.42/894.33
  6. Step 6: Final answer
    x = 1,029.69

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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.