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Finding the Fourth Proportional to 854.58, 1,179.41 and 523.23

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Solution

The fourth proportional to 854.58, 1,179.41 and 523.23 is: 722.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.58 : 1,179.41 = 523.23 : x
  2. Step 2: Convert to fraction form
    854.58/1,179.41 = 523.23/x
  3. Step 3: Cross multiply
    854.58x = 1,179.41 × 523.23
  4. Step 4: Simplify right side
    854.58x = 617,102.69
  5. Step 5: Solve for x
    x = 617,102.69/854.58
  6. Step 6: Final answer
    x = 722.11

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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.