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Finding the Fourth Proportional to 851.24, 1,174.64 and 478.22

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Solution

The fourth proportional to 851.24, 1,174.64 and 478.22 is: 659.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.24 : 1,174.64 = 478.22 : x
  2. Step 2: Convert to fraction form
    851.24/1,174.64 = 478.22/x
  3. Step 3: Cross multiply
    851.24x = 1,174.64 × 478.22
  4. Step 4: Simplify right side
    851.24x = 561,736.34
  5. Step 5: Solve for x
    x = 561,736.34/851.24
  6. Step 6: Final answer
    x = 659.90

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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.