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Finding the Fourth Proportional to 1,196.18, 1,794.97 and 502.79

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Solution

The fourth proportional to 1,196.18, 1,794.97 and 502.79 is: 754.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.18 : 1,794.97 = 502.79 : x
  2. Step 2: Convert to fraction form
    1,196.18/1,794.97 = 502.79/x
  3. Step 3: Cross multiply
    1,196.18x = 1,794.97 × 502.79
  4. Step 4: Simplify right side
    1,196.18x = 902,496.20
  5. Step 5: Solve for x
    x = 902,496.20/1,196.18
  6. Step 6: Final answer
    x = 754.48

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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.