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Finding the Fourth Proportional to 862.03, 1,292.86 and 450.96

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Solution

The fourth proportional to 862.03, 1,292.86 and 450.96 is: 676.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.03 : 1,292.86 = 450.96 : x
  2. Step 2: Convert to fraction form
    862.03/1,292.86 = 450.96/x
  3. Step 3: Cross multiply
    862.03x = 1,292.86 × 450.96
  4. Step 4: Simplify right side
    862.03x = 583,028.15
  5. Step 5: Solve for x
    x = 583,028.15/862.03
  6. Step 6: Final answer
    x = 676.34

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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.