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Finding the Fourth Proportional to 1,270.80, 1,906.38 and 621.57

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Solution

The fourth proportional to 1,270.80, 1,906.38 and 621.57 is: 932.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.80 : 1,906.38 = 621.57 : x
  2. Step 2: Convert to fraction form
    1,270.80/1,906.38 = 621.57/x
  3. Step 3: Cross multiply
    1,270.80x = 1,906.38 × 621.57
  4. Step 4: Simplify right side
    1,270.80x = 1,184,948.62
  5. Step 5: Solve for x
    x = 1,184,948.62/1,270.80
  6. Step 6: Final answer
    x = 932.44

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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.