Home / 1,150.14-1,725.20-419.52

Finding the Fourth Proportional to 1,150.14, 1,725.20 and 419.52

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Solution

The fourth proportional to 1,150.14, 1,725.20 and 419.52 is: 629.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.14 : 1,725.20 = 419.52 : x
  2. Step 2: Convert to fraction form
    1,150.14/1,725.20 = 419.52/x
  3. Step 3: Cross multiply
    1,150.14x = 1,725.20 × 419.52
  4. Step 4: Simplify right side
    1,150.14x = 723,755.90
  5. Step 5: Solve for x
    x = 723,755.90/1,150.14
  6. Step 6: Final answer
    x = 629.28

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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.