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Finding the Fourth Proportional to 1,375.41, 2,063.45 and 450.98

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Solution

The fourth proportional to 1,375.41, 2,063.45 and 450.98 is: 676.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.41 : 2,063.45 = 450.98 : x
  2. Step 2: Convert to fraction form
    1,375.41/2,063.45 = 450.98/x
  3. Step 3: Cross multiply
    1,375.41x = 2,063.45 × 450.98
  4. Step 4: Simplify right side
    1,375.41x = 930,574.68
  5. Step 5: Solve for x
    x = 930,574.68/1,375.41
  6. Step 6: Final answer
    x = 676.58

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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.