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Finding the Fourth Proportional to 676.94, 1,014.09 and 445.12

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Solution

The fourth proportional to 676.94, 1,014.09 and 445.12 is: 666.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.94 : 1,014.09 = 445.12 : x
  2. Step 2: Convert to fraction form
    676.94/1,014.09 = 445.12/x
  3. Step 3: Cross multiply
    676.94x = 1,014.09 × 445.12
  4. Step 4: Simplify right side
    676.94x = 451,395.74
  5. Step 5: Solve for x
    x = 451,395.74/676.94
  6. Step 6: Final answer
    x = 666.82

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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.