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Finding the Fourth Proportional to 811.27, 1,209.79 and 804.34

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Solution

The fourth proportional to 811.27, 1,209.79 and 804.34 is: 1,199.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.27 : 1,209.79 = 804.34 : x
  2. Step 2: Convert to fraction form
    811.27/1,209.79 = 804.34/x
  3. Step 3: Cross multiply
    811.27x = 1,209.79 × 804.34
  4. Step 4: Simplify right side
    811.27x = 973,078.96
  5. Step 5: Solve for x
    x = 973,078.96/811.27
  6. Step 6: Final answer
    x = 1,199.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.