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Finding the Fourth Proportional to 867.88, 1,196.32 and 680.92

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Solution

The fourth proportional to 867.88, 1,196.32 and 680.92 is: 938.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.88 : 1,196.32 = 680.92 : x
  2. Step 2: Convert to fraction form
    867.88/1,196.32 = 680.92/x
  3. Step 3: Cross multiply
    867.88x = 1,196.32 × 680.92
  4. Step 4: Simplify right side
    867.88x = 814,598.21
  5. Step 5: Solve for x
    x = 814,598.21/867.88
  6. Step 6: Final answer
    x = 938.61

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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.