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Finding the Fourth Proportional to 884.12, 1,219.46 and 603.92

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Solution

The fourth proportional to 884.12, 1,219.46 and 603.92 is: 832.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.12 : 1,219.46 = 603.92 : x
  2. Step 2: Convert to fraction form
    884.12/1,219.46 = 603.92/x
  3. Step 3: Cross multiply
    884.12x = 1,219.46 × 603.92
  4. Step 4: Simplify right side
    884.12x = 736,456.31
  5. Step 5: Solve for x
    x = 736,456.31/884.12
  6. Step 6: Final answer
    x = 832.99

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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.