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Finding the Fourth Proportional to 868.80, 1,300.80 and 676.80

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Solution

The fourth proportional to 868.80, 1,300.80 and 676.80 is: 1,013.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.80 : 1,300.80 = 676.80 : x
  2. Step 2: Convert to fraction form
    868.80/1,300.80 = 676.80/x
  3. Step 3: Cross multiply
    868.80x = 1,300.80 × 676.80
  4. Step 4: Simplify right side
    868.80x = 880,381.44
  5. Step 5: Solve for x
    x = 880,381.44/868.80
  6. Step 6: Final answer
    x = 1,013.33

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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.