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Finding the Fourth Proportional to 865.84, 1,194.90 and 492.86

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Solution

The fourth proportional to 865.84, 1,194.90 and 492.86 is: 680.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.84 : 1,194.90 = 492.86 : x
  2. Step 2: Convert to fraction form
    865.84/1,194.90 = 492.86/x
  3. Step 3: Cross multiply
    865.84x = 1,194.90 × 492.86
  4. Step 4: Simplify right side
    865.84x = 588,918.41
  5. Step 5: Solve for x
    x = 588,918.41/865.84
  6. Step 6: Final answer
    x = 680.17

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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.