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Finding the Fourth Proportional to 772.96, 1,157.16 and 676.96

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Solution

The fourth proportional to 772.96, 1,157.16 and 676.96 is: 1,013.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.96 : 1,157.16 = 676.96 : x
  2. Step 2: Convert to fraction form
    772.96/1,157.16 = 676.96/x
  3. Step 3: Cross multiply
    772.96x = 1,157.16 × 676.96
  4. Step 4: Simplify right side
    772.96x = 783,351.03
  5. Step 5: Solve for x
    x = 783,351.03/772.96
  6. Step 6: Final answer
    x = 1,013.44

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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.