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Finding the Fourth Proportional to 1,040.87, 1,559.50 and 796.67

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Solution

The fourth proportional to 1,040.87, 1,559.50 and 796.67 is: 1,193.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.87 : 1,559.50 = 796.67 : x
  2. Step 2: Convert to fraction form
    1,040.87/1,559.50 = 796.67/x
  3. Step 3: Cross multiply
    1,040.87x = 1,559.50 × 796.67
  4. Step 4: Simplify right side
    1,040.87x = 1,242,406.87
  5. Step 5: Solve for x
    x = 1,242,406.87/1,040.87
  6. Step 6: Final answer
    x = 1,193.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.