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Finding the Fourth Proportional to 884.51, 1,219.44 and 684.99

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Solution

The fourth proportional to 884.51, 1,219.44 and 684.99 is: 944.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.51 : 1,219.44 = 684.99 : x
  2. Step 2: Convert to fraction form
    884.51/1,219.44 = 684.99/x
  3. Step 3: Cross multiply
    884.51x = 1,219.44 × 684.99
  4. Step 4: Simplify right side
    884.51x = 835,304.21
  5. Step 5: Solve for x
    x = 835,304.21/884.51
  6. Step 6: Final answer
    x = 944.37

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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.