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Finding the Fourth Proportional to 676.34, 1,014.81 and 416.73

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Solution

The fourth proportional to 676.34, 1,014.81 and 416.73 is: 625.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.34 : 1,014.81 = 416.73 : x
  2. Step 2: Convert to fraction form
    676.34/1,014.81 = 416.73/x
  3. Step 3: Cross multiply
    676.34x = 1,014.81 × 416.73
  4. Step 4: Simplify right side
    676.34x = 422,901.77
  5. Step 5: Solve for x
    x = 422,901.77/676.34
  6. Step 6: Final answer
    x = 625.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.