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Finding the Fourth Proportional to 1,052.55, 1,450.53 and 757.29

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Solution

The fourth proportional to 1,052.55, 1,450.53 and 757.29 is: 1,043.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.55 : 1,450.53 = 757.29 : x
  2. Step 2: Convert to fraction form
    1,052.55/1,450.53 = 757.29/x
  3. Step 3: Cross multiply
    1,052.55x = 1,450.53 × 757.29
  4. Step 4: Simplify right side
    1,052.55x = 1,098,471.86
  5. Step 5: Solve for x
    x = 1,098,471.86/1,052.55
  6. Step 6: Final answer
    x = 1,043.63

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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.