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Finding the Fourth Proportional to 1,160.00, 1,738.77 and 794.69

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Solution

The fourth proportional to 1,160.00, 1,738.77 and 794.69 is: 1,191.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.00 : 1,738.77 = 794.69 : x
  2. Step 2: Convert to fraction form
    1,160.00/1,738.77 = 794.69/x
  3. Step 3: Cross multiply
    1,160.00x = 1,738.77 × 794.69
  4. Step 4: Simplify right side
    1,160.00x = 1,381,774.44
  5. Step 5: Solve for x
    x = 1,381,774.44/1,160.00
  6. Step 6: Final answer
    x = 1,191.19

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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.