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Finding the Fourth Proportional to 1,382.94, 2,072.01 and 731.70

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Solution

The fourth proportional to 1,382.94, 2,072.01 and 731.70 is: 1,096.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.94 : 2,072.01 = 731.70 : x
  2. Step 2: Convert to fraction form
    1,382.94/2,072.01 = 731.70/x
  3. Step 3: Cross multiply
    1,382.94x = 2,072.01 × 731.70
  4. Step 4: Simplify right side
    1,382.94x = 1,516,089.72
  5. Step 5: Solve for x
    x = 1,516,089.72/1,382.94
  6. Step 6: Final answer
    x = 1,096.28

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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.