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Finding the Fourth Proportional to 1,271.13, 1,906.77 and 449.46

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Solution

The fourth proportional to 1,271.13, 1,906.77 and 449.46 is: 674.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.13 : 1,906.77 = 449.46 : x
  2. Step 2: Convert to fraction form
    1,271.13/1,906.77 = 449.46/x
  3. Step 3: Cross multiply
    1,271.13x = 1,906.77 × 449.46
  4. Step 4: Simplify right side
    1,271.13x = 857,016.84
  5. Step 5: Solve for x
    x = 857,016.84/1,271.13
  6. Step 6: Final answer
    x = 674.22

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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.