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Finding the Fourth Proportional to 1,389.35, 1,917.32 and 759.87

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Solution

The fourth proportional to 1,389.35, 1,917.32 and 759.87 is: 1,048.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.35 : 1,917.32 = 759.87 : x
  2. Step 2: Convert to fraction form
    1,389.35/1,917.32 = 759.87/x
  3. Step 3: Cross multiply
    1,389.35x = 1,917.32 × 759.87
  4. Step 4: Simplify right side
    1,389.35x = 1,456,910.15
  5. Step 5: Solve for x
    x = 1,456,910.15/1,389.35
  6. Step 6: Final answer
    x = 1,048.63

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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.