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Finding the Fourth Proportional to 814.68, 1,221.60 and 382.20

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Solution

The fourth proportional to 814.68, 1,221.60 and 382.20 is: 573.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.68 : 1,221.60 = 382.20 : x
  2. Step 2: Convert to fraction form
    814.68/1,221.60 = 382.20/x
  3. Step 3: Cross multiply
    814.68x = 1,221.60 × 382.20
  4. Step 4: Simplify right side
    814.68x = 466,895.52
  5. Step 5: Solve for x
    x = 466,895.52/814.68
  6. Step 6: Final answer
    x = 573.10

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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.