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Finding the Fourth Proportional to 894.45, 1,234.41 and 540.46

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Solution

The fourth proportional to 894.45, 1,234.41 and 540.46 is: 745.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.45 : 1,234.41 = 540.46 : x
  2. Step 2: Convert to fraction form
    894.45/1,234.41 = 540.46/x
  3. Step 3: Cross multiply
    894.45x = 1,234.41 × 540.46
  4. Step 4: Simplify right side
    894.45x = 667,148.74
  5. Step 5: Solve for x
    x = 667,148.74/894.45
  6. Step 6: Final answer
    x = 745.88

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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.