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Finding the Fourth Proportional to 1,271.85, 1,755.08 and 712.23

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Solution

The fourth proportional to 1,271.85, 1,755.08 and 712.23 is: 982.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.85 : 1,755.08 = 712.23 : x
  2. Step 2: Convert to fraction form
    1,271.85/1,755.08 = 712.23/x
  3. Step 3: Cross multiply
    1,271.85x = 1,755.08 × 712.23
  4. Step 4: Simplify right side
    1,271.85x = 1,250,013.16
  5. Step 5: Solve for x
    x = 1,250,013.16/1,271.85
  6. Step 6: Final answer
    x = 982.83

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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.