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Finding the Fourth Proportional to 1,271.70, 1,908.27 and 724.23

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Solution

The fourth proportional to 1,271.70, 1,908.27 and 724.23 is: 1,086.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.70 : 1,908.27 = 724.23 : x
  2. Step 2: Convert to fraction form
    1,271.70/1,908.27 = 724.23/x
  3. Step 3: Cross multiply
    1,271.70x = 1,908.27 × 724.23
  4. Step 4: Simplify right side
    1,271.70x = 1,382,026.38
  5. Step 5: Solve for x
    x = 1,382,026.38/1,271.70
  6. Step 6: Final answer
    x = 1,086.76

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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.