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Finding the Fourth Proportional to 1,138.60, 1,571.07 and 641.20

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Solution

The fourth proportional to 1,138.60, 1,571.07 and 641.20 is: 884.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.60 : 1,571.07 = 641.20 : x
  2. Step 2: Convert to fraction form
    1,138.60/1,571.07 = 641.20/x
  3. Step 3: Cross multiply
    1,138.60x = 1,571.07 × 641.20
  4. Step 4: Simplify right side
    1,138.60x = 1,007,370.08
  5. Step 5: Solve for x
    x = 1,007,370.08/1,138.60
  6. Step 6: Final answer
    x = 884.74

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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.