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Finding the Fourth Proportional to 867.08, 1,196.28 and 493.94

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Solution

The fourth proportional to 867.08, 1,196.28 and 493.94 is: 681.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.08 : 1,196.28 = 493.94 : x
  2. Step 2: Convert to fraction form
    867.08/1,196.28 = 493.94/x
  3. Step 3: Cross multiply
    867.08x = 1,196.28 × 493.94
  4. Step 4: Simplify right side
    867.08x = 590,884.56
  5. Step 5: Solve for x
    x = 590,884.56/867.08
  6. Step 6: Final answer
    x = 681.47

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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.