Home / 1,149.02-1,724.43-419.30

Finding the Fourth Proportional to 1,149.02, 1,724.43 and 419.30

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Solution

The fourth proportional to 1,149.02, 1,724.43 and 419.30 is: 629.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.02 : 1,724.43 = 419.30 : x
  2. Step 2: Convert to fraction form
    1,149.02/1,724.43 = 419.30/x
  3. Step 3: Cross multiply
    1,149.02x = 1,724.43 × 419.30
  4. Step 4: Simplify right side
    1,149.02x = 723,053.50
  5. Step 5: Solve for x
    x = 723,053.50/1,149.02
  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.