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Finding the Fourth Proportional to 1,159.05, 1,738.29 and 793.74

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Solution

The fourth proportional to 1,159.05, 1,738.29 and 793.74 is: 1,190.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.05 : 1,738.29 = 793.74 : x
  2. Step 2: Convert to fraction form
    1,159.05/1,738.29 = 793.74/x
  3. Step 3: Cross multiply
    1,159.05x = 1,738.29 × 793.74
  4. Step 4: Simplify right side
    1,159.05x = 1,379,750.30
  5. Step 5: Solve for x
    x = 1,379,750.30/1,159.05
  6. Step 6: Final answer
    x = 1,190.41

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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.