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Finding the Fourth Proportional to 884.04, 1,220.16 and 604.84

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Solution

The fourth proportional to 884.04, 1,220.16 and 604.84 is: 834.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.04 : 1,220.16 = 604.84 : x
  2. Step 2: Convert to fraction form
    884.04/1,220.16 = 604.84/x
  3. Step 3: Cross multiply
    884.04x = 1,220.16 × 604.84
  4. Step 4: Simplify right side
    884.04x = 738,001.57
  5. Step 5: Solve for x
    x = 738,001.57/884.04
  6. Step 6: Final answer
    x = 834.81

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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.