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Finding the Fourth Proportional to 854.57, 1,179.96 and 559.73

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Solution

The fourth proportional to 854.57, 1,179.96 and 559.73 is: 772.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.57 : 1,179.96 = 559.73 : x
  2. Step 2: Convert to fraction form
    854.57/1,179.96 = 559.73/x
  3. Step 3: Cross multiply
    854.57x = 1,179.96 × 559.73
  4. Step 4: Simplify right side
    854.57x = 660,459.01
  5. Step 5: Solve for x
    x = 660,459.01/854.57
  6. Step 6: Final answer
    x = 772.86

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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.