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Finding the Fourth Proportional to 867.60, 1,197.16 and 494.48

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Solution

The fourth proportional to 867.60, 1,197.16 and 494.48 is: 682.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.60 : 1,197.16 = 494.48 : x
  2. Step 2: Convert to fraction form
    867.60/1,197.16 = 494.48/x
  3. Step 3: Cross multiply
    867.60x = 1,197.16 × 494.48
  4. Step 4: Simplify right side
    867.60x = 591,971.68
  5. Step 5: Solve for x
    x = 591,971.68/867.60
  6. Step 6: Final answer
    x = 682.31

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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.