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Finding the Fourth Proportional to 1,163.60, 1,605.56 and 942.17

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Solution

The fourth proportional to 1,163.60, 1,605.56 and 942.17 is: 1,300.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.60 : 1,605.56 = 942.17 : x
  2. Step 2: Convert to fraction form
    1,163.60/1,605.56 = 942.17/x
  3. Step 3: Cross multiply
    1,163.60x = 1,605.56 × 942.17
  4. Step 4: Simplify right side
    1,163.60x = 1,512,697.73
  5. Step 5: Solve for x
    x = 1,512,697.73/1,163.60
  6. Step 6: Final answer
    x = 1,300.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.