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Finding the Fourth Proportional to 862.45, 1,191.03 and 548.31

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Solution

The fourth proportional to 862.45, 1,191.03 and 548.31 is: 757.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.45 : 1,191.03 = 548.31 : x
  2. Step 2: Convert to fraction form
    862.45/1,191.03 = 548.31/x
  3. Step 3: Cross multiply
    862.45x = 1,191.03 × 548.31
  4. Step 4: Simplify right side
    862.45x = 653,047.70
  5. Step 5: Solve for x
    x = 653,047.70/862.45
  6. Step 6: Final answer
    x = 757.20

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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.