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Finding the Fourth Proportional to 1,083.98, 1,625.92 and 293.37

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Solution

The fourth proportional to 1,083.98, 1,625.92 and 293.37 is: 440.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.98 : 1,625.92 = 293.37 : x
  2. Step 2: Convert to fraction form
    1,083.98/1,625.92 = 293.37/x
  3. Step 3: Cross multiply
    1,083.98x = 1,625.92 × 293.37
  4. Step 4: Simplify right side
    1,083.98x = 476,986.55
  5. Step 5: Solve for x
    x = 476,986.55/1,083.98
  6. Step 6: Final answer
    x = 440.03

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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.