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Finding the Fourth Proportional to 1,682.76, 2,524.54 and 528.50

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Solution

The fourth proportional to 1,682.76, 2,524.54 and 528.50 is: 792.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.76 : 2,524.54 = 528.50 : x
  2. Step 2: Convert to fraction form
    1,682.76/2,524.54 = 528.50/x
  3. Step 3: Cross multiply
    1,682.76x = 2,524.54 × 528.50
  4. Step 4: Simplify right side
    1,682.76x = 1,334,219.39
  5. Step 5: Solve for x
    x = 1,334,219.39/1,682.76
  6. Step 6: Final answer
    x = 792.88

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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.