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Finding the Fourth Proportional to 1,729.94, 2,593.32 and 689.70

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Solution

The fourth proportional to 1,729.94, 2,593.32 and 689.70 is: 1,033.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.94 : 2,593.32 = 689.70 : x
  2. Step 2: Convert to fraction form
    1,729.94/2,593.32 = 689.70/x
  3. Step 3: Cross multiply
    1,729.94x = 2,593.32 × 689.70
  4. Step 4: Simplify right side
    1,729.94x = 1,788,600.97
  5. Step 5: Solve for x
    x = 1,788,600.97/1,729.94
  6. Step 6: Final answer
    x = 1,033.91

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