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Finding the Fourth Proportional to 1,271.27, 1,754.07 and 805.25

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Solution

The fourth proportional to 1,271.27, 1,754.07 and 805.25 is: 1,111.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.27 : 1,754.07 = 805.25 : x
  2. Step 2: Convert to fraction form
    1,271.27/1,754.07 = 805.25/x
  3. Step 3: Cross multiply
    1,271.27x = 1,754.07 × 805.25
  4. Step 4: Simplify right side
    1,271.27x = 1,412,464.87
  5. Step 5: Solve for x
    x = 1,412,464.87/1,271.27
  6. Step 6: Final answer
    x = 1,111.07

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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.