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Finding the Fourth Proportional to 552.93, 829.59 and 520.33

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Solution

The fourth proportional to 552.93, 829.59 and 520.33 is: 780.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.93 : 829.59 = 520.33 : x
  2. Step 2: Convert to fraction form
    552.93/829.59 = 520.33/x
  3. Step 3: Cross multiply
    552.93x = 829.59 × 520.33
  4. Step 4: Simplify right side
    552.93x = 431,660.56
  5. Step 5: Solve for x
    x = 431,660.56/552.93
  6. Step 6: Final answer
    x = 780.68

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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.