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Finding the Fourth Proportional to 855.14, 1,180.18 and 523.79

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Solution

The fourth proportional to 855.14, 1,180.18 and 523.79 is: 722.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.14 : 1,180.18 = 523.79 : x
  2. Step 2: Convert to fraction form
    855.14/1,180.18 = 523.79/x
  3. Step 3: Cross multiply
    855.14x = 1,180.18 × 523.79
  4. Step 4: Simplify right side
    855.14x = 618,166.48
  5. Step 5: Solve for x
    x = 618,166.48/855.14
  6. Step 6: Final answer
    x = 722.88

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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.