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Finding the Fourth Proportional to 854.88, 1,180.14 and 523.47

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Solution

The fourth proportional to 854.88, 1,180.14 and 523.47 is: 722.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.88 : 1,180.14 = 523.47 : x
  2. Step 2: Convert to fraction form
    854.88/1,180.14 = 523.47/x
  3. Step 3: Cross multiply
    854.88x = 1,180.14 × 523.47
  4. Step 4: Simplify right side
    854.88x = 617,767.89
  5. Step 5: Solve for x
    x = 617,767.89/854.88
  6. Step 6: Final answer
    x = 722.64

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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.