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Finding the Fourth Proportional to 801.64, 1,202.60 and 390.73

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Solution

The fourth proportional to 801.64, 1,202.60 and 390.73 is: 586.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.64 : 1,202.60 = 390.73 : x
  2. Step 2: Convert to fraction form
    801.64/1,202.60 = 390.73/x
  3. Step 3: Cross multiply
    801.64x = 1,202.60 × 390.73
  4. Step 4: Simplify right side
    801.64x = 469,891.90
  5. Step 5: Solve for x
    x = 469,891.90/801.64
  6. Step 6: Final answer
    x = 586.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.