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Finding the Fourth Proportional to 854.75, 1,180.19 and 523.63

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Solution

The fourth proportional to 854.75, 1,180.19 and 523.63 is: 723.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.75 : 1,180.19 = 523.63 : x
  2. Step 2: Convert to fraction form
    854.75/1,180.19 = 523.63/x
  3. Step 3: Cross multiply
    854.75x = 1,180.19 × 523.63
  4. Step 4: Simplify right side
    854.75x = 617,982.89
  5. Step 5: Solve for x
    x = 617,982.89/854.75
  6. Step 6: Final answer
    x = 723.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.