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Finding the Fourth Proportional to 814.64, 1,220.87 and 380.75

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Solution

The fourth proportional to 814.64, 1,220.87 and 380.75 is: 570.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.64 : 1,220.87 = 380.75 : x
  2. Step 2: Convert to fraction form
    814.64/1,220.87 = 380.75/x
  3. Step 3: Cross multiply
    814.64x = 1,220.87 × 380.75
  4. Step 4: Simplify right side
    814.64x = 464,841.10
  5. Step 5: Solve for x
    x = 464,841.10/814.64
  6. Step 6: Final answer
    x = 570.61

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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.