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Finding the Fourth Proportional to 1,189.17, 1,650.94 and 1,153.53

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Solution

The fourth proportional to 1,189.17, 1,650.94 and 1,153.53 is: 1,601.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.17 : 1,650.94 = 1,153.53 : x
  2. Step 2: Convert to fraction form
    1,189.17/1,650.94 = 1,153.53/x
  3. Step 3: Cross multiply
    1,189.17x = 1,650.94 × 1,153.53
  4. Step 4: Simplify right side
    1,189.17x = 1,904,405.93
  5. Step 5: Solve for x
    x = 1,904,405.93/1,189.17
  6. Step 6: Final answer
    x = 1,601.46

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.