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Finding the Fourth Proportional to 1,382.10, 2,072.88 and 407.94

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Solution

The fourth proportional to 1,382.10, 2,072.88 and 407.94 is: 611.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.10 : 2,072.88 = 407.94 : x
  2. Step 2: Convert to fraction form
    1,382.10/2,072.88 = 407.94/x
  3. Step 3: Cross multiply
    1,382.10x = 2,072.88 × 407.94
  4. Step 4: Simplify right side
    1,382.10x = 845,610.67
  5. Step 5: Solve for x
    x = 845,610.67/1,382.10
  6. Step 6: Final answer
    x = 611.83

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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.