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Finding the Fourth Proportional to 884.10, 1,219.42 and 604.05

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Solution

The fourth proportional to 884.10, 1,219.42 and 604.05 is: 833.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.10 : 1,219.42 = 604.05 : x
  2. Step 2: Convert to fraction form
    884.10/1,219.42 = 604.05/x
  3. Step 3: Cross multiply
    884.10x = 1,219.42 × 604.05
  4. Step 4: Simplify right side
    884.10x = 736,583.04
  5. Step 5: Solve for x
    x = 736,583.04/884.10
  6. Step 6: Final answer
    x = 833.14

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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.