Home / 1,149.90-1,724.56-419.42

Finding the Fourth Proportional to 1,149.90, 1,724.56 and 419.42

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Solution

The fourth proportional to 1,149.90, 1,724.56 and 419.42 is: 629.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.90 : 1,724.56 = 419.42 : x
  2. Step 2: Convert to fraction form
    1,149.90/1,724.56 = 419.42/x
  3. Step 3: Cross multiply
    1,149.90x = 1,724.56 × 419.42
  4. Step 4: Simplify right side
    1,149.90x = 723,314.96
  5. Step 5: Solve for x
    x = 723,314.96/1,149.90
  6. Step 6: Final answer
    x = 629.02

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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.