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Finding the Fourth Proportional to 1,271.33, 1,754.41 and 711.82

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Solution

The fourth proportional to 1,271.33, 1,754.41 and 711.82 is: 982.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.33 : 1,754.41 = 711.82 : x
  2. Step 2: Convert to fraction form
    1,271.33/1,754.41 = 711.82/x
  3. Step 3: Cross multiply
    1,271.33x = 1,754.41 × 711.82
  4. Step 4: Simplify right side
    1,271.33x = 1,248,811.80
  5. Step 5: Solve for x
    x = 1,248,811.80/1,271.33
  6. Step 6: Final answer
    x = 982.29

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