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Finding the Fourth Proportional to 1,115.56, 1,674.83 and 719.15

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Solution

The fourth proportional to 1,115.56, 1,674.83 and 719.15 is: 1,079.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.56 : 1,674.83 = 719.15 : x
  2. Step 2: Convert to fraction form
    1,115.56/1,674.83 = 719.15/x
  3. Step 3: Cross multiply
    1,115.56x = 1,674.83 × 719.15
  4. Step 4: Simplify right side
    1,115.56x = 1,204,459.98
  5. Step 5: Solve for x
    x = 1,204,459.98/1,115.56
  6. Step 6: Final answer
    x = 1,079.69

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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.