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Finding the Fourth Proportional to 1,000.60, 1,380.78 and 627.44

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Solution

The fourth proportional to 1,000.60, 1,380.78 and 627.44 is: 865.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.60 : 1,380.78 = 627.44 : x
  2. Step 2: Convert to fraction form
    1,000.60/1,380.78 = 627.44/x
  3. Step 3: Cross multiply
    1,000.60x = 1,380.78 × 627.44
  4. Step 4: Simplify right side
    1,000.60x = 866,356.60
  5. Step 5: Solve for x
    x = 866,356.60/1,000.60
  6. Step 6: Final answer
    x = 865.84

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