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Finding the Fourth Proportional to 1,755.94, 2,635.62 and 782.68

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Solution

The fourth proportional to 1,755.94, 2,635.62 and 782.68 is: 1,174.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.94 : 2,635.62 = 782.68 : x
  2. Step 2: Convert to fraction form
    1,755.94/2,635.62 = 782.68/x
  3. Step 3: Cross multiply
    1,755.94x = 2,635.62 × 782.68
  4. Step 4: Simplify right side
    1,755.94x = 2,062,847.06
  5. Step 5: Solve for x
    x = 2,062,847.06/1,755.94
  6. Step 6: Final answer
    x = 1,174.78

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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.