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Finding the Fourth Proportional to 1,271.03, 1,754.21 and 739.92

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Solution

The fourth proportional to 1,271.03, 1,754.21 and 739.92 is: 1,021.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.03 : 1,754.21 = 739.92 : x
  2. Step 2: Convert to fraction form
    1,271.03/1,754.21 = 739.92/x
  3. Step 3: Cross multiply
    1,271.03x = 1,754.21 × 739.92
  4. Step 4: Simplify right side
    1,271.03x = 1,297,969.46
  5. Step 5: Solve for x
    x = 1,297,969.46/1,271.03
  6. Step 6: Final answer
    x = 1,021.20

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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.