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Finding the Fourth Proportional to 814.93, 1,221.84 and 392.56

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Solution

The fourth proportional to 814.93, 1,221.84 and 392.56 is: 588.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.93 : 1,221.84 = 392.56 : x
  2. Step 2: Convert to fraction form
    814.93/1,221.84 = 392.56/x
  3. Step 3: Cross multiply
    814.93x = 1,221.84 × 392.56
  4. Step 4: Simplify right side
    814.93x = 479,645.51
  5. Step 5: Solve for x
    x = 479,645.51/814.93
  6. Step 6: Final answer
    x = 588.57

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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.