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Finding the Fourth Proportional to 659.82, 908.18 and 548.04

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Solution

The fourth proportional to 659.82, 908.18 and 548.04 is: 754.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.82 : 908.18 = 548.04 : x
  2. Step 2: Convert to fraction form
    659.82/908.18 = 548.04/x
  3. Step 3: Cross multiply
    659.82x = 908.18 × 548.04
  4. Step 4: Simplify right side
    659.82x = 497,718.97
  5. Step 5: Solve for x
    x = 497,718.97/659.82
  6. Step 6: Final answer
    x = 754.33

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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.