Home / 1,163.83-1,732.54-1,157.67

Finding the Fourth Proportional to 1,163.83, 1,732.54 and 1,157.67

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Solution

The fourth proportional to 1,163.83, 1,732.54 and 1,157.67 is: 1,723.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.83 : 1,732.54 = 1,157.67 : x
  2. Step 2: Convert to fraction form
    1,163.83/1,732.54 = 1,157.67/x
  3. Step 3: Cross multiply
    1,163.83x = 1,732.54 × 1,157.67
  4. Step 4: Simplify right side
    1,163.83x = 2,005,700.92
  5. Step 5: Solve for x
    x = 2,005,700.92/1,163.83
  6. Step 6: Final answer
    x = 1,723.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.