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Finding the Fourth Proportional to 1,271.57, 1,754.71 and 704.43

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Solution

The fourth proportional to 1,271.57, 1,754.71 and 704.43 is: 972.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.57 : 1,754.71 = 704.43 : x
  2. Step 2: Convert to fraction form
    1,271.57/1,754.71 = 704.43/x
  3. Step 3: Cross multiply
    1,271.57x = 1,754.71 × 704.43
  4. Step 4: Simplify right side
    1,271.57x = 1,236,070.37
  5. Step 5: Solve for x
    x = 1,236,070.37/1,271.57
  6. Step 6: Final answer
    x = 972.08

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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.