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Finding the Fourth Proportional to 865.81, 1,194.76 and 492.74

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Solution

The fourth proportional to 865.81, 1,194.76 and 492.74 is: 679.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.81 : 1,194.76 = 492.74 : x
  2. Step 2: Convert to fraction form
    865.81/1,194.76 = 492.74/x
  3. Step 3: Cross multiply
    865.81x = 1,194.76 × 492.74
  4. Step 4: Simplify right side
    865.81x = 588,706.04
  5. Step 5: Solve for x
    x = 588,706.04/865.81
  6. Step 6: Final answer
    x = 679.95

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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.