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Finding the Fourth Proportional to 866.29, 1,195.75 and 493.52

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Solution

The fourth proportional to 866.29, 1,195.75 and 493.52 is: 681.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.29 : 1,195.75 = 493.52 : x
  2. Step 2: Convert to fraction form
    866.29/1,195.75 = 493.52/x
  3. Step 3: Cross multiply
    866.29x = 1,195.75 × 493.52
  4. Step 4: Simplify right side
    866.29x = 590,126.54
  5. Step 5: Solve for x
    x = 590,126.54/866.29
  6. Step 6: Final answer
    x = 681.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.