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Finding the Fourth Proportional to 866.02, 1,194.83 and 492.97

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Solution

The fourth proportional to 866.02, 1,194.83 and 492.97 is: 680.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.02 : 1,194.83 = 492.97 : x
  2. Step 2: Convert to fraction form
    866.02/1,194.83 = 492.97/x
  3. Step 3: Cross multiply
    866.02x = 1,194.83 × 492.97
  4. Step 4: Simplify right side
    866.02x = 589,009.37
  5. Step 5: Solve for x
    x = 589,009.37/866.02
  6. Step 6: Final answer
    x = 680.14

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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.