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Finding the Fourth Proportional to 1,389.58, 2,083.49 and 696.06

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Solution

The fourth proportional to 1,389.58, 2,083.49 and 696.06 is: 1,043.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.58 : 2,083.49 = 696.06 : x
  2. Step 2: Convert to fraction form
    1,389.58/2,083.49 = 696.06/x
  3. Step 3: Cross multiply
    1,389.58x = 2,083.49 × 696.06
  4. Step 4: Simplify right side
    1,389.58x = 1,450,234.05
  5. Step 5: Solve for x
    x = 1,450,234.05/1,389.58
  6. Step 6: Final answer
    x = 1,043.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.