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Finding the Fourth Proportional to 1,389.07, 1,916.91 and 759.59

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Solution

The fourth proportional to 1,389.07, 1,916.91 and 759.59 is: 1,048.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.07 : 1,916.91 = 759.59 : x
  2. Step 2: Convert to fraction form
    1,389.07/1,916.91 = 759.59/x
  3. Step 3: Cross multiply
    1,389.07x = 1,916.91 × 759.59
  4. Step 4: Simplify right side
    1,389.07x = 1,456,063.27
  5. Step 5: Solve for x
    x = 1,456,063.27/1,389.07
  6. Step 6: Final answer
    x = 1,048.23

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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.