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Finding the Fourth Proportional to 615.09, 921.77 and 523.43

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Solution

The fourth proportional to 615.09, 921.77 and 523.43 is: 784.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.09 : 921.77 = 523.43 : x
  2. Step 2: Convert to fraction form
    615.09/921.77 = 523.43/x
  3. Step 3: Cross multiply
    615.09x = 921.77 × 523.43
  4. Step 4: Simplify right side
    615.09x = 482,474.85
  5. Step 5: Solve for x
    x = 482,474.85/615.09
  6. Step 6: Final answer
    x = 784.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.