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Finding the Fourth Proportional to 814.66, 1,221.53 and 381.81

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Solution

The fourth proportional to 814.66, 1,221.53 and 381.81 is: 572.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.66 : 1,221.53 = 381.81 : x
  2. Step 2: Convert to fraction form
    814.66/1,221.53 = 381.81/x
  3. Step 3: Cross multiply
    814.66x = 1,221.53 × 381.81
  4. Step 4: Simplify right side
    814.66x = 466,397.19
  5. Step 5: Solve for x
    x = 466,397.19/814.66
  6. Step 6: Final answer
    x = 572.51

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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.