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Finding the Fourth Proportional to 894.70, 1,234.72 and 521.62

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Solution

The fourth proportional to 894.70, 1,234.72 and 521.62 is: 719.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.70 : 1,234.72 = 521.62 : x
  2. Step 2: Convert to fraction form
    894.70/1,234.72 = 521.62/x
  3. Step 3: Cross multiply
    894.70x = 1,234.72 × 521.62
  4. Step 4: Simplify right side
    894.70x = 644,048.47
  5. Step 5: Solve for x
    x = 644,048.47/894.70
  6. Step 6: Final answer
    x = 719.85

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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.