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Finding the Fourth Proportional to 862.96, 1,190.86 and 548.44

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Solution

The fourth proportional to 862.96, 1,190.86 and 548.44 is: 756.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.96 : 1,190.86 = 548.44 : x
  2. Step 2: Convert to fraction form
    862.96/1,190.86 = 548.44/x
  3. Step 3: Cross multiply
    862.96x = 1,190.86 × 548.44
  4. Step 4: Simplify right side
    862.96x = 653,115.26
  5. Step 5: Solve for x
    x = 653,115.26/862.96
  6. Step 6: Final answer
    x = 756.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.