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Finding the Fourth Proportional to 863.85, 1,295.79 and 452.44

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Solution

The fourth proportional to 863.85, 1,295.79 and 452.44 is: 678.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.85 : 1,295.79 = 452.44 : x
  2. Step 2: Convert to fraction form
    863.85/1,295.79 = 452.44/x
  3. Step 3: Cross multiply
    863.85x = 1,295.79 × 452.44
  4. Step 4: Simplify right side
    863.85x = 586,267.23
  5. Step 5: Solve for x
    x = 586,267.23/863.85
  6. Step 6: Final answer
    x = 678.67

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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.