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Finding the Fourth Proportional to 854.68, 1,179.30 and 523.08

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Solution

The fourth proportional to 854.68, 1,179.30 and 523.08 is: 721.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.68 : 1,179.30 = 523.08 : x
  2. Step 2: Convert to fraction form
    854.68/1,179.30 = 523.08/x
  3. Step 3: Cross multiply
    854.68x = 1,179.30 × 523.08
  4. Step 4: Simplify right side
    854.68x = 616,868.24
  5. Step 5: Solve for x
    x = 616,868.24/854.68
  6. Step 6: Final answer
    x = 721.75

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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.