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Finding the Fourth Proportional to 753.98, 1,040.83 and 443.50

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Solution

The fourth proportional to 753.98, 1,040.83 and 443.50 is: 612.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.98 : 1,040.83 = 443.50 : x
  2. Step 2: Convert to fraction form
    753.98/1,040.83 = 443.50/x
  3. Step 3: Cross multiply
    753.98x = 1,040.83 × 443.50
  4. Step 4: Simplify right side
    753.98x = 461,608.11
  5. Step 5: Solve for x
    x = 461,608.11/753.98
  6. Step 6: Final answer
    x = 612.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.