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Finding the Fourth Proportional to 1,271.81, 1,755.09 and 712.27

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Solution

The fourth proportional to 1,271.81, 1,755.09 and 712.27 is: 982.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.81 : 1,755.09 = 712.27 : x
  2. Step 2: Convert to fraction form
    1,271.81/1,755.09 = 712.27/x
  3. Step 3: Cross multiply
    1,271.81x = 1,755.09 × 712.27
  4. Step 4: Simplify right side
    1,271.81x = 1,250,097.95
  5. Step 5: Solve for x
    x = 1,250,097.95/1,271.81
  6. Step 6: Final answer
    x = 982.93

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Why These Related Problems?

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