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Finding the Fourth Proportional to 894.40, 1,234.24 and 496.05

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Solution

The fourth proportional to 894.40, 1,234.24 and 496.05 is: 684.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.40 : 1,234.24 = 496.05 : x
  2. Step 2: Convert to fraction form
    894.40/1,234.24 = 496.05/x
  3. Step 3: Cross multiply
    894.40x = 1,234.24 × 496.05
  4. Step 4: Simplify right side
    894.40x = 612,238.88
  5. Step 5: Solve for x
    x = 612,238.88/894.40
  6. Step 6: Final answer
    x = 684.53

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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.