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Finding the Fourth Proportional to 884.50, 1,220.64 and 574.54

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Solution

The fourth proportional to 884.50, 1,220.64 and 574.54 is: 792.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.50 : 1,220.64 = 574.54 : x
  2. Step 2: Convert to fraction form
    884.50/1,220.64 = 574.54/x
  3. Step 3: Cross multiply
    884.50x = 1,220.64 × 574.54
  4. Step 4: Simplify right side
    884.50x = 701,306.51
  5. Step 5: Solve for x
    x = 701,306.51/884.50
  6. Step 6: Final answer
    x = 792.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.