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Finding the Fourth Proportional to 894.68, 1,234.91 and 521.78

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Solution

The fourth proportional to 894.68, 1,234.91 and 521.78 is: 720.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.68 : 1,234.91 = 521.78 : x
  2. Step 2: Convert to fraction form
    894.68/1,234.91 = 521.78/x
  3. Step 3: Cross multiply
    894.68x = 1,234.91 × 521.78
  4. Step 4: Simplify right side
    894.68x = 644,351.34
  5. Step 5: Solve for x
    x = 644,351.34/894.68
  6. Step 6: Final answer
    x = 720.20

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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.