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Finding the Fourth Proportional to 1,271.37, 1,754.25 and 711.78

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Solution

The fourth proportional to 1,271.37, 1,754.25 and 711.78 is: 982.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.37 : 1,754.25 = 711.78 : x
  2. Step 2: Convert to fraction form
    1,271.37/1,754.25 = 711.78/x
  3. Step 3: Cross multiply
    1,271.37x = 1,754.25 × 711.78
  4. Step 4: Simplify right side
    1,271.37x = 1,248,640.07
  5. Step 5: Solve for x
    x = 1,248,640.07/1,271.37
  6. Step 6: Final answer
    x = 982.12

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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.