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Finding the Fourth Proportional to 1,192.24, 1,787 and 461.44

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Solution

The fourth proportional to 1,192.24, 1,787 and 461.44 is: 691.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.24 : 1,787 = 461.44 : x
  2. Step 2: Convert to fraction form
    1,192.24/1,787 = 461.44/x
  3. Step 3: Cross multiply
    1,192.24x = 1,787 × 461.44
  4. Step 4: Simplify right side
    1,192.24x = 824,593.28
  5. Step 5: Solve for x
    x = 824,593.28/1,192.24
  6. Step 6: Final answer
    x = 691.63

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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.