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Finding the Fourth Proportional to 801.38, 1,105.85 and 452

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Solution

The fourth proportional to 801.38, 1,105.85 and 452 is: 623.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.38 : 1,105.85 = 452 : x
  2. Step 2: Convert to fraction form
    801.38/1,105.85 = 452/x
  3. Step 3: Cross multiply
    801.38x = 1,105.85 × 452
  4. Step 4: Simplify right side
    801.38x = 499,841.94
  5. Step 5: Solve for x
    x = 499,841.94/801.38
  6. Step 6: Final answer
    x = 623.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.