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Finding the Fourth Proportional to 894.18, 1,234.97 and 598.94

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Solution

The fourth proportional to 894.18, 1,234.97 and 598.94 is: 827.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.18 : 1,234.97 = 598.94 : x
  2. Step 2: Convert to fraction form
    894.18/1,234.97 = 598.94/x
  3. Step 3: Cross multiply
    894.18x = 1,234.97 × 598.94
  4. Step 4: Simplify right side
    894.18x = 739,672.93
  5. Step 5: Solve for x
    x = 739,672.93/894.18
  6. Step 6: Final answer
    x = 827.21

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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.