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Finding the Fourth Proportional to 851.00, 1,174.37 and 477.97

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Solution

The fourth proportional to 851.00, 1,174.37 and 477.97 is: 659.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.00 : 1,174.37 = 477.97 : x
  2. Step 2: Convert to fraction form
    851.00/1,174.37 = 477.97/x
  3. Step 3: Cross multiply
    851.00x = 1,174.37 × 477.97
  4. Step 4: Simplify right side
    851.00x = 561,308.30
  5. Step 5: Solve for x
    x = 561,308.30/851.00
  6. Step 6: Final answer
    x = 659.59

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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.