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Finding the Fourth Proportional to 675.85, 1,013.78 and 213.67

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Solution

The fourth proportional to 675.85, 1,013.78 and 213.67 is: 320.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.85 : 1,013.78 = 213.67 : x
  2. Step 2: Convert to fraction form
    675.85/1,013.78 = 213.67/x
  3. Step 3: Cross multiply
    675.85x = 1,013.78 × 213.67
  4. Step 4: Simplify right side
    675.85x = 216,608.24
  5. Step 5: Solve for x
    x = 216,608.24/675.85
  6. Step 6: Final answer
    x = 320.50

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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.