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Finding the Fourth Proportional to 894.92, 1,234.77 and 521.67

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Solution

The fourth proportional to 894.92, 1,234.77 and 521.67 is: 719.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.92 : 1,234.77 = 521.67 : x
  2. Step 2: Convert to fraction form
    894.92/1,234.77 = 521.67/x
  3. Step 3: Cross multiply
    894.92x = 1,234.77 × 521.67
  4. Step 4: Simplify right side
    894.92x = 644,142.47
  5. Step 5: Solve for x
    x = 644,142.47/894.92
  6. Step 6: Final answer
    x = 719.78

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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.