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Finding the Fourth Proportional to 1,375.73, 2,064.07 and 401.98

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Solution

The fourth proportional to 1,375.73, 2,064.07 and 401.98 is: 603.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.73 : 2,064.07 = 401.98 : x
  2. Step 2: Convert to fraction form
    1,375.73/2,064.07 = 401.98/x
  3. Step 3: Cross multiply
    1,375.73x = 2,064.07 × 401.98
  4. Step 4: Simplify right side
    1,375.73x = 829,704.54
  5. Step 5: Solve for x
    x = 829,704.54/1,375.73
  6. Step 6: Final answer
    x = 603.10

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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.