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Finding the Fourth Proportional to 860.83, 1,289.12 and 450.31

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Solution

The fourth proportional to 860.83, 1,289.12 and 450.31 is: 674.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.83 : 1,289.12 = 450.31 : x
  2. Step 2: Convert to fraction form
    860.83/1,289.12 = 450.31/x
  3. Step 3: Cross multiply
    860.83x = 1,289.12 × 450.31
  4. Step 4: Simplify right side
    860.83x = 580,500.57
  5. Step 5: Solve for x
    x = 580,500.57/860.83
  6. Step 6: Final answer
    x = 674.35

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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.