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Finding the Fourth Proportional to 1,027.41, 1,538.39 and 539.45

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Solution

The fourth proportional to 1,027.41, 1,538.39 and 539.45 is: 807.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.41 : 1,538.39 = 539.45 : x
  2. Step 2: Convert to fraction form
    1,027.41/1,538.39 = 539.45/x
  3. Step 3: Cross multiply
    1,027.41x = 1,538.39 × 539.45
  4. Step 4: Simplify right side
    1,027.41x = 829,874.10
  5. Step 5: Solve for x
    x = 829,874.10/1,027.41
  6. Step 6: Final answer
    x = 807.73

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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.