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Finding the Fourth Proportional to 1,485.34, 2,229.37 and 755.42

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Solution

The fourth proportional to 1,485.34, 2,229.37 and 755.42 is: 1,133.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485.34 : 2,229.37 = 755.42 : x
  2. Step 2: Convert to fraction form
    1,485.34/2,229.37 = 755.42/x
  3. Step 3: Cross multiply
    1,485.34x = 2,229.37 × 755.42
  4. Step 4: Simplify right side
    1,485.34x = 1,684,110.69
  5. Step 5: Solve for x
    x = 1,684,110.69/1,485.34
  6. Step 6: Final answer
    x = 1,133.82

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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.