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Finding the Fourth Proportional to 1,270.16, 1,905.39 and 539.33

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Solution

The fourth proportional to 1,270.16, 1,905.39 and 539.33 is: 809.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.16 : 1,905.39 = 539.33 : x
  2. Step 2: Convert to fraction form
    1,270.16/1,905.39 = 539.33/x
  3. Step 3: Cross multiply
    1,270.16x = 1,905.39 × 539.33
  4. Step 4: Simplify right side
    1,270.16x = 1,027,633.99
  5. Step 5: Solve for x
    x = 1,027,633.99/1,270.16
  6. Step 6: Final answer
    x = 809.06

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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.