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Finding the Fourth Proportional to 550.72, 827.03 and 527.50

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Solution

The fourth proportional to 550.72, 827.03 and 527.50 is: 792.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.72 : 827.03 = 527.50 : x
  2. Step 2: Convert to fraction form
    550.72/827.03 = 527.50/x
  3. Step 3: Cross multiply
    550.72x = 827.03 × 527.50
  4. Step 4: Simplify right side
    550.72x = 436,258.33
  5. Step 5: Solve for x
    x = 436,258.33/550.72
  6. Step 6: Final answer
    x = 792.16

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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.