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Finding the Fourth Proportional to 851.44, 1,174.96 and 478.42

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Solution

The fourth proportional to 851.44, 1,174.96 and 478.42 is: 660.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.44 : 1,174.96 = 478.42 : x
  2. Step 2: Convert to fraction form
    851.44/1,174.96 = 478.42/x
  3. Step 3: Cross multiply
    851.44x = 1,174.96 × 478.42
  4. Step 4: Simplify right side
    851.44x = 562,124.36
  5. Step 5: Solve for x
    x = 562,124.36/851.44
  6. Step 6: Final answer
    x = 660.20

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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.