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Finding the Fourth Proportional to 803.34, 1,101.94 and 796.40

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Solution

The fourth proportional to 803.34, 1,101.94 and 796.40 is: 1,092.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.34 : 1,101.94 = 796.40 : x
  2. Step 2: Convert to fraction form
    803.34/1,101.94 = 796.40/x
  3. Step 3: Cross multiply
    803.34x = 1,101.94 × 796.40
  4. Step 4: Simplify right side
    803.34x = 877,585.02
  5. Step 5: Solve for x
    x = 877,585.02/803.34
  6. Step 6: Final answer
    x = 1,092.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.