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Finding the Fourth Proportional to 1,157.56, 1,738.77 and 725.02

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Solution

The fourth proportional to 1,157.56, 1,738.77 and 725.02 is: 1,089.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.56 : 1,738.77 = 725.02 : x
  2. Step 2: Convert to fraction form
    1,157.56/1,738.77 = 725.02/x
  3. Step 3: Cross multiply
    1,157.56x = 1,738.77 × 725.02
  4. Step 4: Simplify right side
    1,157.56x = 1,260,635.96
  5. Step 5: Solve for x
    x = 1,260,635.96/1,157.56
  6. Step 6: Final answer
    x = 1,089.05

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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.