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Finding the Fourth Proportional to 675.46, 1,013.20 and 445.82

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Solution

The fourth proportional to 675.46, 1,013.20 and 445.82 is: 668.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.46 : 1,013.20 = 445.82 : x
  2. Step 2: Convert to fraction form
    675.46/1,013.20 = 445.82/x
  3. Step 3: Cross multiply
    675.46x = 1,013.20 × 445.82
  4. Step 4: Simplify right side
    675.46x = 451,704.82
  5. Step 5: Solve for x
    x = 451,704.82/675.46
  6. Step 6: Final answer
    x = 668.74

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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.