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Finding the Fourth Proportional to 801.08, 1,199.46 and 415.52

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Solution

The fourth proportional to 801.08, 1,199.46 and 415.52 is: 622.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.08 : 1,199.46 = 415.52 : x
  2. Step 2: Convert to fraction form
    801.08/1,199.46 = 415.52/x
  3. Step 3: Cross multiply
    801.08x = 1,199.46 × 415.52
  4. Step 4: Simplify right side
    801.08x = 498,402.92
  5. Step 5: Solve for x
    x = 498,402.92/801.08
  6. Step 6: Final answer
    x = 622.16

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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.