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Finding the Fourth Proportional to 1,163.18, 1,745.38 and 773.46

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Solution

The fourth proportional to 1,163.18, 1,745.38 and 773.46 is: 1,160.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.18 : 1,745.38 = 773.46 : x
  2. Step 2: Convert to fraction form
    1,163.18/1,745.38 = 773.46/x
  3. Step 3: Cross multiply
    1,163.18x = 1,745.38 × 773.46
  4. Step 4: Simplify right side
    1,163.18x = 1,349,981.61
  5. Step 5: Solve for x
    x = 1,349,981.61/1,163.18
  6. Step 6: Final answer
    x = 1,160.60

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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.