Home / 1,190.44-1,784.36-409.70

Finding the Fourth Proportional to 1,190.44, 1,784.36 and 409.70

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Solution

The fourth proportional to 1,190.44, 1,784.36 and 409.70 is: 614.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.44 : 1,784.36 = 409.70 : x
  2. Step 2: Convert to fraction form
    1,190.44/1,784.36 = 409.70/x
  3. Step 3: Cross multiply
    1,190.44x = 1,784.36 × 409.70
  4. Step 4: Simplify right side
    1,190.44x = 731,057.78
  5. Step 5: Solve for x
    x = 731,057.78/1,190.44
  6. Step 6: Final answer
    x = 614.11

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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.