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Finding the Fourth Proportional to 867.22, 1,196.78 and 474.24

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Solution

The fourth proportional to 867.22, 1,196.78 and 474.24 is: 654.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.22 : 1,196.78 = 474.24 : x
  2. Step 2: Convert to fraction form
    867.22/1,196.78 = 474.24/x
  3. Step 3: Cross multiply
    867.22x = 1,196.78 × 474.24
  4. Step 4: Simplify right side
    867.22x = 567,560.33
  5. Step 5: Solve for x
    x = 567,560.33/867.22
  6. Step 6: Final answer
    x = 654.46

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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.