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Finding the Fourth Proportional to 1,257.96, 1,735.86 and 733.86

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Solution

The fourth proportional to 1,257.96, 1,735.86 and 733.86 is: 1,012.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.96 : 1,735.86 = 733.86 : x
  2. Step 2: Convert to fraction form
    1,257.96/1,735.86 = 733.86/x
  3. Step 3: Cross multiply
    1,257.96x = 1,735.86 × 733.86
  4. Step 4: Simplify right side
    1,257.96x = 1,273,878.22
  5. Step 5: Solve for x
    x = 1,273,878.22/1,257.96
  6. Step 6: Final answer
    x = 1,012.65

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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.