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Finding the Fourth Proportional to 1,272.27, 1,754.34 and 829.35

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Solution

The fourth proportional to 1,272.27, 1,754.34 and 829.35 is: 1,143.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.27 : 1,754.34 = 829.35 : x
  2. Step 2: Convert to fraction form
    1,272.27/1,754.34 = 829.35/x
  3. Step 3: Cross multiply
    1,272.27x = 1,754.34 × 829.35
  4. Step 4: Simplify right side
    1,272.27x = 1,454,961.88
  5. Step 5: Solve for x
    x = 1,454,961.88/1,272.27
  6. Step 6: Final answer
    x = 1,143.60

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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.