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Finding the Fourth Proportional to 1,270.18, 1,905.51 and 539.74

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Solution

The fourth proportional to 1,270.18, 1,905.51 and 539.74 is: 809.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.18 : 1,905.51 = 539.74 : x
  2. Step 2: Convert to fraction form
    1,270.18/1,905.51 = 539.74/x
  3. Step 3: Cross multiply
    1,270.18x = 1,905.51 × 539.74
  4. Step 4: Simplify right side
    1,270.18x = 1,028,479.97
  5. Step 5: Solve for x
    x = 1,028,479.97/1,270.18
  6. Step 6: Final answer
    x = 809.71

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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.