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Finding the Fourth Proportional to 1,450.09, 2,175.14 and 627.94

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Solution

The fourth proportional to 1,450.09, 2,175.14 and 627.94 is: 941.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.09 : 2,175.14 = 627.94 : x
  2. Step 2: Convert to fraction form
    1,450.09/2,175.14 = 627.94/x
  3. Step 3: Cross multiply
    1,450.09x = 2,175.14 × 627.94
  4. Step 4: Simplify right side
    1,450.09x = 1,365,857.41
  5. Step 5: Solve for x
    x = 1,365,857.41/1,450.09
  6. Step 6: Final answer
    x = 941.91

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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.