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Finding the Fourth Proportional to 1,269.73, 1,905.06 and 539.35

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Solution

The fourth proportional to 1,269.73, 1,905.06 and 539.35 is: 809.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.73 : 1,905.06 = 539.35 : x
  2. Step 2: Convert to fraction form
    1,269.73/1,905.06 = 539.35/x
  3. Step 3: Cross multiply
    1,269.73x = 1,905.06 × 539.35
  4. Step 4: Simplify right side
    1,269.73x = 1,027,494.11
  5. Step 5: Solve for x
    x = 1,027,494.11/1,269.73
  6. Step 6: Final answer
    x = 809.22

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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.