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Finding the Fourth Proportional to 1,027.76, 1,539.60 and 943.76

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Solution

The fourth proportional to 1,027.76, 1,539.60 and 943.76 is: 1,413.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.76 : 1,539.60 = 943.76 : x
  2. Step 2: Convert to fraction form
    1,027.76/1,539.60 = 943.76/x
  3. Step 3: Cross multiply
    1,027.76x = 1,539.60 × 943.76
  4. Step 4: Simplify right side
    1,027.76x = 1,453,012.90
  5. Step 5: Solve for x
    x = 1,453,012.90/1,027.76
  6. Step 6: Final answer
    x = 1,413.77

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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.