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Finding the Fourth Proportional to 1,257.28, 1,733.12 and 836.96

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Solution

The fourth proportional to 1,257.28, 1,733.12 and 836.96 is: 1,153.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.28 : 1,733.12 = 836.96 : x
  2. Step 2: Convert to fraction form
    1,257.28/1,733.12 = 836.96/x
  3. Step 3: Cross multiply
    1,257.28x = 1,733.12 × 836.96
  4. Step 4: Simplify right side
    1,257.28x = 1,450,552.12
  5. Step 5: Solve for x
    x = 1,450,552.12/1,257.28
  6. Step 6: Final answer
    x = 1,153.72

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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.