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Finding the Fourth Proportional to 814.14, 1,221.07 and 294.04

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Solution

The fourth proportional to 814.14, 1,221.07 and 294.04 is: 441.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.14 : 1,221.07 = 294.04 : x
  2. Step 2: Convert to fraction form
    814.14/1,221.07 = 294.04/x
  3. Step 3: Cross multiply
    814.14x = 1,221.07 × 294.04
  4. Step 4: Simplify right side
    814.14x = 359,043.42
  5. Step 5: Solve for x
    x = 359,043.42/814.14
  6. Step 6: Final answer
    x = 441.01

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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.