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Finding the Fourth Proportional to 1,270.20, 1,905.07 and 345.83

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Solution

The fourth proportional to 1,270.20, 1,905.07 and 345.83 is: 518.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.20 : 1,905.07 = 345.83 : x
  2. Step 2: Convert to fraction form
    1,270.20/1,905.07 = 345.83/x
  3. Step 3: Cross multiply
    1,270.20x = 1,905.07 × 345.83
  4. Step 4: Simplify right side
    1,270.20x = 658,824.73
  5. Step 5: Solve for x
    x = 658,824.73/1,270.20
  6. Step 6: Final answer
    x = 518.68

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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.