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Finding the Fourth Proportional to 894.33, 1,234.06 and 521.22

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Solution

The fourth proportional to 894.33, 1,234.06 and 521.22 is: 719.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.33 : 1,234.06 = 521.22 : x
  2. Step 2: Convert to fraction form
    894.33/1,234.06 = 521.22/x
  3. Step 3: Cross multiply
    894.33x = 1,234.06 × 521.22
  4. Step 4: Simplify right side
    894.33x = 643,216.75
  5. Step 5: Solve for x
    x = 643,216.75/894.33
  6. Step 6: Final answer
    x = 719.22

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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.