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Finding the Fourth Proportional to 854.88, 1,180.36 and 523.76

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Solution

The fourth proportional to 854.88, 1,180.36 and 523.76 is: 723.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.88 : 1,180.36 = 523.76 : x
  2. Step 2: Convert to fraction form
    854.88/1,180.36 = 523.76/x
  3. Step 3: Cross multiply
    854.88x = 1,180.36 × 523.76
  4. Step 4: Simplify right side
    854.88x = 618,220.11
  5. Step 5: Solve for x
    x = 618,220.11/854.88
  6. Step 6: Final answer
    x = 723.17

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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.