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Finding the Fourth Proportional to 659.64, 910.11 and 548.94

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Solution

The fourth proportional to 659.64, 910.11 and 548.94 is: 757.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.64 : 910.11 = 548.94 : x
  2. Step 2: Convert to fraction form
    659.64/910.11 = 548.94/x
  3. Step 3: Cross multiply
    659.64x = 910.11 × 548.94
  4. Step 4: Simplify right side
    659.64x = 499,593.04
  5. Step 5: Solve for x
    x = 499,593.04/659.64
  6. Step 6: Final answer
    x = 757.37

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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.