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Finding the Fourth Proportional to 1,375.74, 2,063.82 and 401.73

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Solution

The fourth proportional to 1,375.74, 2,063.82 and 401.73 is: 602.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.74 : 2,063.82 = 401.73 : x
  2. Step 2: Convert to fraction form
    1,375.74/2,063.82 = 401.73/x
  3. Step 3: Cross multiply
    1,375.74x = 2,063.82 × 401.73
  4. Step 4: Simplify right side
    1,375.74x = 829,098.41
  5. Step 5: Solve for x
    x = 829,098.41/1,375.74
  6. Step 6: Final answer
    x = 602.66

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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.