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Finding the Fourth Proportional to 528.96, 789.92 and 523.23

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Solution

The fourth proportional to 528.96, 789.92 and 523.23 is: 781.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.96 : 789.92 = 523.23 : x
  2. Step 2: Convert to fraction form
    528.96/789.92 = 523.23/x
  3. Step 3: Cross multiply
    528.96x = 789.92 × 523.23
  4. Step 4: Simplify right side
    528.96x = 413,307.23
  5. Step 5: Solve for x
    x = 413,307.23/528.96
  6. Step 6: Final answer
    x = 781.36

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Why These Related Problems?

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