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Finding the Fourth Proportional to 614.80, 921.84 and 523.54

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Solution

The fourth proportional to 614.80, 921.84 and 523.54 is: 785.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.80 : 921.84 = 523.54 : x
  2. Step 2: Convert to fraction form
    614.80/921.84 = 523.54/x
  3. Step 3: Cross multiply
    614.80x = 921.84 × 523.54
  4. Step 4: Simplify right side
    614.80x = 482,620.11
  5. Step 5: Solve for x
    x = 482,620.11/614.80
  6. Step 6: Final answer
    x = 785.00

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Why These Related Problems?

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