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Finding the Fourth Proportional to 867.31, 1,196.92 and 474.33

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Solution

The fourth proportional to 867.31, 1,196.92 and 474.33 is: 654.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.31 : 1,196.92 = 474.33 : x
  2. Step 2: Convert to fraction form
    867.31/1,196.92 = 474.33/x
  3. Step 3: Cross multiply
    867.31x = 1,196.92 × 474.33
  4. Step 4: Simplify right side
    867.31x = 567,735.71
  5. Step 5: Solve for x
    x = 567,735.71/867.31
  6. Step 6: Final answer
    x = 654.59

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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.