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Finding the Fourth Proportional to 868.46, 1,300.34 and 795.33

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Solution

The fourth proportional to 868.46, 1,300.34 and 795.33 is: 1,190.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.46 : 1,300.34 = 795.33 : x
  2. Step 2: Convert to fraction form
    868.46/1,300.34 = 795.33/x
  3. Step 3: Cross multiply
    868.46x = 1,300.34 × 795.33
  4. Step 4: Simplify right side
    868.46x = 1,034,195.44
  5. Step 5: Solve for x
    x = 1,034,195.44/868.46
  6. Step 6: Final answer
    x = 1,190.85

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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.