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Finding the Fourth Proportional to 523.28, 781.64 and 520.85

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Solution

The fourth proportional to 523.28, 781.64 and 520.85 is: 778.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.28 : 781.64 = 520.85 : x
  2. Step 2: Convert to fraction form
    523.28/781.64 = 520.85/x
  3. Step 3: Cross multiply
    523.28x = 781.64 × 520.85
  4. Step 4: Simplify right side
    523.28x = 407,110.68
  5. Step 5: Solve for x
    x = 407,110.68/523.28
  6. Step 6: Final answer
    x = 778.01

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.