Home / 1,683.20-2,525.15-513.14

Finding the Fourth Proportional to 1,683.20, 2,525.15 and 513.14

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Solution

The fourth proportional to 1,683.20, 2,525.15 and 513.14 is: 769.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.20 : 2,525.15 = 513.14 : x
  2. Step 2: Convert to fraction form
    1,683.20/2,525.15 = 513.14/x
  3. Step 3: Cross multiply
    1,683.20x = 2,525.15 × 513.14
  4. Step 4: Simplify right side
    1,683.20x = 1,295,744.13
  5. Step 5: Solve for x
    x = 1,295,744.13/1,683.20
  6. Step 6: Final answer
    x = 769.81

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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.