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Finding the Fourth Proportional to 1,319.25, 1,820.63 and 759.85

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Solution

The fourth proportional to 1,319.25, 1,820.63 and 759.85 is: 1,048.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.25 : 1,820.63 = 759.85 : x
  2. Step 2: Convert to fraction form
    1,319.25/1,820.63 = 759.85/x
  3. Step 3: Cross multiply
    1,319.25x = 1,820.63 × 759.85
  4. Step 4: Simplify right side
    1,319.25x = 1,383,398.78
  5. Step 5: Solve for x
    x = 1,383,398.78/1,319.25
  6. Step 6: Final answer
    x = 1,048.62

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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.