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Finding the Fourth Proportional to 867.05, 1,301.18 and 685.61

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Solution

The fourth proportional to 867.05, 1,301.18 and 685.61 is: 1,028.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.05 : 1,301.18 = 685.61 : x
  2. Step 2: Convert to fraction form
    867.05/1,301.18 = 685.61/x
  3. Step 3: Cross multiply
    867.05x = 1,301.18 × 685.61
  4. Step 4: Simplify right side
    867.05x = 892,092.09
  5. Step 5: Solve for x
    x = 892,092.09/867.05
  6. Step 6: Final answer
    x = 1,028.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.