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Finding the Fourth Proportional to 866.67, 1,298.82 and 318.33

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Solution

The fourth proportional to 866.67, 1,298.82 and 318.33 is: 477.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.67 : 1,298.82 = 318.33 : x
  2. Step 2: Convert to fraction form
    866.67/1,298.82 = 318.33/x
  3. Step 3: Cross multiply
    866.67x = 1,298.82 × 318.33
  4. Step 4: Simplify right side
    866.67x = 413,453.37
  5. Step 5: Solve for x
    x = 413,453.37/866.67
  6. Step 6: Final answer
    x = 477.06

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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.