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Finding the Fourth Proportional to 769.13, 1,152.82 and 676.40

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Solution

The fourth proportional to 769.13, 1,152.82 and 676.40 is: 1,013.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.13 : 1,152.82 = 676.40 : x
  2. Step 2: Convert to fraction form
    769.13/1,152.82 = 676.40/x
  3. Step 3: Cross multiply
    769.13x = 1,152.82 × 676.40
  4. Step 4: Simplify right side
    769.13x = 779,767.45
  5. Step 5: Solve for x
    x = 779,767.45/769.13
  6. Step 6: Final answer
    x = 1,013.83

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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.