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Finding the Fourth Proportional to 894.75, 1,234.91 and 521.95

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Solution

The fourth proportional to 894.75, 1,234.91 and 521.95 is: 720.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.75 : 1,234.91 = 521.95 : x
  2. Step 2: Convert to fraction form
    894.75/1,234.91 = 521.95/x
  3. Step 3: Cross multiply
    894.75x = 1,234.91 × 521.95
  4. Step 4: Simplify right side
    894.75x = 644,561.27
  5. Step 5: Solve for x
    x = 644,561.27/894.75
  6. Step 6: Final answer
    x = 720.38

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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.