Home / 1,162.85-1,742.20-613.80

Finding the Fourth Proportional to 1,162.85, 1,742.20 and 613.80

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Solution

The fourth proportional to 1,162.85, 1,742.20 and 613.80 is: 919.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.85 : 1,742.20 = 613.80 : x
  2. Step 2: Convert to fraction form
    1,162.85/1,742.20 = 613.80/x
  3. Step 3: Cross multiply
    1,162.85x = 1,742.20 × 613.80
  4. Step 4: Simplify right side
    1,162.85x = 1,069,367.36
  5. Step 5: Solve for x
    x = 1,069,367.36/1,162.85
  6. Step 6: Final answer
    x = 919.61

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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.