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Finding the Fourth Proportional to 1,233.07, 1,692.16 and 1,163.51

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Solution

The fourth proportional to 1,233.07, 1,692.16 and 1,163.51 is: 1,596.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.07 : 1,692.16 = 1,163.51 : x
  2. Step 2: Convert to fraction form
    1,233.07/1,692.16 = 1,163.51/x
  3. Step 3: Cross multiply
    1,233.07x = 1,692.16 × 1,163.51
  4. Step 4: Simplify right side
    1,233.07x = 1,968,833.71
  5. Step 5: Solve for x
    x = 1,968,833.71/1,233.07
  6. Step 6: Final answer
    x = 1,596.70

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.