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Finding the Fourth Proportional to 1,270.10, 1,905.41 and 539.66

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Solution

The fourth proportional to 1,270.10, 1,905.41 and 539.66 is: 809.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.10 : 1,905.41 = 539.66 : x
  2. Step 2: Convert to fraction form
    1,270.10/1,905.41 = 539.66/x
  3. Step 3: Cross multiply
    1,270.10x = 1,905.41 × 539.66
  4. Step 4: Simplify right side
    1,270.10x = 1,028,261.34
  5. Step 5: Solve for x
    x = 1,028,261.34/1,270.10
  6. Step 6: Final answer
    x = 809.59

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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.