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Finding the Fourth Proportional to 884.39, 1,322.93 and 804.20

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Solution

The fourth proportional to 884.39, 1,322.93 and 804.20 is: 1,202.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.39 : 1,322.93 = 804.20 : x
  2. Step 2: Convert to fraction form
    884.39/1,322.93 = 804.20/x
  3. Step 3: Cross multiply
    884.39x = 1,322.93 × 804.20
  4. Step 4: Simplify right side
    884.39x = 1,063,889.67
  5. Step 5: Solve for x
    x = 1,063,889.67/884.39
  6. Step 6: Final answer
    x = 1,202.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.