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Finding the Fourth Proportional to 813.13, 1,119.71 and 794.97

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Solution

The fourth proportional to 813.13, 1,119.71 and 794.97 is: 1,094.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.13 : 1,119.71 = 794.97 : x
  2. Step 2: Convert to fraction form
    813.13/1,119.71 = 794.97/x
  3. Step 3: Cross multiply
    813.13x = 1,119.71 × 794.97
  4. Step 4: Simplify right side
    813.13x = 890,131.88
  5. Step 5: Solve for x
    x = 890,131.88/813.13
  6. Step 6: Final answer
    x = 1,094.70

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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.