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Finding the Fourth Proportional to 1,300.44, 1,950.98 and 376.06

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Solution

The fourth proportional to 1,300.44, 1,950.98 and 376.06 is: 564.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.44 : 1,950.98 = 376.06 : x
  2. Step 2: Convert to fraction form
    1,300.44/1,950.98 = 376.06/x
  3. Step 3: Cross multiply
    1,300.44x = 1,950.98 × 376.06
  4. Step 4: Simplify right side
    1,300.44x = 733,685.54
  5. Step 5: Solve for x
    x = 733,685.54/1,300.44
  6. Step 6: Final answer
    x = 564.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.