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Finding the Fourth Proportional to 867.89, 1,301.09 and 319.97

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Solution

The fourth proportional to 867.89, 1,301.09 and 319.97 is: 479.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.89 : 1,301.09 = 319.97 : x
  2. Step 2: Convert to fraction form
    867.89/1,301.09 = 319.97/x
  3. Step 3: Cross multiply
    867.89x = 1,301.09 × 319.97
  4. Step 4: Simplify right side
    867.89x = 416,309.77
  5. Step 5: Solve for x
    x = 416,309.77/867.89
  6. Step 6: Final answer
    x = 479.68

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