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Finding the Fourth Proportional to 866.13, 1,292.96 and 804.62

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Solution

The fourth proportional to 866.13, 1,292.96 and 804.62 is: 1,201.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.13 : 1,292.96 = 804.62 : x
  2. Step 2: Convert to fraction form
    866.13/1,292.96 = 804.62/x
  3. Step 3: Cross multiply
    866.13x = 1,292.96 × 804.62
  4. Step 4: Simplify right side
    866.13x = 1,040,330.99
  5. Step 5: Solve for x
    x = 1,040,330.99/866.13
  6. Step 6: Final answer
    x = 1,201.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.