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Finding the Fourth Proportional to 1,173.23, 1,768.84 and 1,093.91

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Solution

The fourth proportional to 1,173.23, 1,768.84 and 1,093.91 is: 1,649.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.23 : 1,768.84 = 1,093.91 : x
  2. Step 2: Convert to fraction form
    1,173.23/1,768.84 = 1,093.91/x
  3. Step 3: Cross multiply
    1,173.23x = 1,768.84 × 1,093.91
  4. Step 4: Simplify right side
    1,173.23x = 1,934,951.76
  5. Step 5: Solve for x
    x = 1,934,951.76/1,173.23
  6. Step 6: Final answer
    x = 1,649.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.