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Finding the Fourth Proportional to 676.74, 1,014.92 and 351.94

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Solution

The fourth proportional to 676.74, 1,014.92 and 351.94 is: 527.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.74 : 1,014.92 = 351.94 : x
  2. Step 2: Convert to fraction form
    676.74/1,014.92 = 351.94/x
  3. Step 3: Cross multiply
    676.74x = 1,014.92 × 351.94
  4. Step 4: Simplify right side
    676.74x = 357,190.94
  5. Step 5: Solve for x
    x = 357,190.94/676.74
  6. Step 6: Final answer
    x = 527.81

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