Home / 1,464.26-2,193.84-769.88

Finding the Fourth Proportional to 1,464.26, 2,193.84 and 769.88

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Solution

The fourth proportional to 1,464.26, 2,193.84 and 769.88 is: 1,153.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.26 : 2,193.84 = 769.88 : x
  2. Step 2: Convert to fraction form
    1,464.26/2,193.84 = 769.88/x
  3. Step 3: Cross multiply
    1,464.26x = 2,193.84 × 769.88
  4. Step 4: Simplify right side
    1,464.26x = 1,688,993.54
  5. Step 5: Solve for x
    x = 1,688,993.54/1,464.26
  6. Step 6: Final answer
    x = 1,153.48

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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.