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Finding the Fourth Proportional to 1,055.46, 1,453.23 and 868.35

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Solution

The fourth proportional to 1,055.46, 1,453.23 and 868.35 is: 1,195.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.46 : 1,453.23 = 868.35 : x
  2. Step 2: Convert to fraction form
    1,055.46/1,453.23 = 868.35/x
  3. Step 3: Cross multiply
    1,055.46x = 1,453.23 × 868.35
  4. Step 4: Simplify right side
    1,055.46x = 1,261,912.27
  5. Step 5: Solve for x
    x = 1,261,912.27/1,055.46
  6. Step 6: Final answer
    x = 1,195.60

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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.