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Finding the Fourth Proportional to 894.42, 1,234.31 and 521.42

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Solution

The fourth proportional to 894.42, 1,234.31 and 521.42 is: 719.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.42 : 1,234.31 = 521.42 : x
  2. Step 2: Convert to fraction form
    894.42/1,234.31 = 521.42/x
  3. Step 3: Cross multiply
    894.42x = 1,234.31 × 521.42
  4. Step 4: Simplify right side
    894.42x = 643,585.14
  5. Step 5: Solve for x
    x = 643,585.14/894.42
  6. Step 6: Final answer
    x = 719.56

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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.