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Finding the Fourth Proportional to 1,682.56, 2,524.24 and 528.31

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Solution

The fourth proportional to 1,682.56, 2,524.24 and 528.31 is: 792.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.56 : 2,524.24 = 528.31 : x
  2. Step 2: Convert to fraction form
    1,682.56/2,524.24 = 528.31/x
  3. Step 3: Cross multiply
    1,682.56x = 2,524.24 × 528.31
  4. Step 4: Simplify right side
    1,682.56x = 1,333,572.61
  5. Step 5: Solve for x
    x = 1,333,572.61/1,682.56
  6. Step 6: Final answer
    x = 792.59

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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.