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Finding the Fourth Proportional to 1,382.47, 1,907.25 and 850.91

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Solution

The fourth proportional to 1,382.47, 1,907.25 and 850.91 is: 1,173.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.47 : 1,907.25 = 850.91 : x
  2. Step 2: Convert to fraction form
    1,382.47/1,907.25 = 850.91/x
  3. Step 3: Cross multiply
    1,382.47x = 1,907.25 × 850.91
  4. Step 4: Simplify right side
    1,382.47x = 1,622,885.37
  5. Step 5: Solve for x
    x = 1,622,885.37/1,382.47
  6. Step 6: Final answer
    x = 1,173.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.