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Finding the Fourth Proportional to 854.87, 1,179.80 and 481.93

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Solution

The fourth proportional to 854.87, 1,179.80 and 481.93 is: 665.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.87 : 1,179.80 = 481.93 : x
  2. Step 2: Convert to fraction form
    854.87/1,179.80 = 481.93/x
  3. Step 3: Cross multiply
    854.87x = 1,179.80 × 481.93
  4. Step 4: Simplify right side
    854.87x = 568,580.42
  5. Step 5: Solve for x
    x = 568,580.42/854.87
  6. Step 6: Final answer
    x = 665.10

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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.