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Finding the Fourth Proportional to 627.64, 943.62 and 580.12

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Solution

The fourth proportional to 627.64, 943.62 and 580.12 is: 872.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.64 : 943.62 = 580.12 : x
  2. Step 2: Convert to fraction form
    627.64/943.62 = 580.12/x
  3. Step 3: Cross multiply
    627.64x = 943.62 × 580.12
  4. Step 4: Simplify right side
    627.64x = 547,412.83
  5. Step 5: Solve for x
    x = 547,412.83/627.64
  6. Step 6: Final answer
    x = 872.18

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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.