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Finding the Fourth Proportional to 675.69, 1,013.67 and 213.45

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Solution

The fourth proportional to 675.69, 1,013.67 and 213.45 is: 320.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.69 : 1,013.67 = 213.45 : x
  2. Step 2: Convert to fraction form
    675.69/1,013.67 = 213.45/x
  3. Step 3: Cross multiply
    675.69x = 1,013.67 × 213.45
  4. Step 4: Simplify right side
    675.69x = 216,367.86
  5. Step 5: Solve for x
    x = 216,367.86/675.69
  6. Step 6: Final answer
    x = 320.22

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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.