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Finding the Fourth Proportional to 1,092.66, 1,642.77 and 1,033.26

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Solution

The fourth proportional to 1,092.66, 1,642.77 and 1,033.26 is: 1,553.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.66 : 1,642.77 = 1,033.26 : x
  2. Step 2: Convert to fraction form
    1,092.66/1,642.77 = 1,033.26/x
  3. Step 3: Cross multiply
    1,092.66x = 1,642.77 × 1,033.26
  4. Step 4: Simplify right side
    1,092.66x = 1,697,408.53
  5. Step 5: Solve for x
    x = 1,697,408.53/1,092.66
  6. Step 6: Final answer
    x = 1,553.46

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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.