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Finding the Fourth Proportional to 1,257.23, 1,735.14 and 759.89

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Solution

The fourth proportional to 1,257.23, 1,735.14 and 759.89 is: 1,048.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.23 : 1,735.14 = 759.89 : x
  2. Step 2: Convert to fraction form
    1,257.23/1,735.14 = 759.89/x
  3. Step 3: Cross multiply
    1,257.23x = 1,735.14 × 759.89
  4. Step 4: Simplify right side
    1,257.23x = 1,318,506.86
  5. Step 5: Solve for x
    x = 1,318,506.86/1,257.23
  6. Step 6: Final answer
    x = 1,048.74

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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.