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Finding the Fourth Proportional to 1,270.41, 1,905.23 and 490.35

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Solution

The fourth proportional to 1,270.41, 1,905.23 and 490.35 is: 735.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.41 : 1,905.23 = 490.35 : x
  2. Step 2: Convert to fraction form
    1,270.41/1,905.23 = 490.35/x
  3. Step 3: Cross multiply
    1,270.41x = 1,905.23 × 490.35
  4. Step 4: Simplify right side
    1,270.41x = 934,227.08
  5. Step 5: Solve for x
    x = 934,227.08/1,270.41
  6. Step 6: Final answer
    x = 735.37

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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.