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Finding the Fourth Proportional to 894.29, 1,234.17 and 501.37

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Solution

The fourth proportional to 894.29, 1,234.17 and 501.37 is: 691.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.29 : 1,234.17 = 501.37 : x
  2. Step 2: Convert to fraction form
    894.29/1,234.17 = 501.37/x
  3. Step 3: Cross multiply
    894.29x = 1,234.17 × 501.37
  4. Step 4: Simplify right side
    894.29x = 618,772.73
  5. Step 5: Solve for x
    x = 618,772.73/894.29
  6. Step 6: Final answer
    x = 691.92

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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.