Home / 1,190.26-1,785.21-410.14

Finding the Fourth Proportional to 1,190.26, 1,785.21 and 410.14

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Solution

The fourth proportional to 1,190.26, 1,785.21 and 410.14 is: 615.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.26 : 1,785.21 = 410.14 : x
  2. Step 2: Convert to fraction form
    1,190.26/1,785.21 = 410.14/x
  3. Step 3: Cross multiply
    1,190.26x = 1,785.21 × 410.14
  4. Step 4: Simplify right side
    1,190.26x = 732,186.03
  5. Step 5: Solve for x
    x = 732,186.03/1,190.26
  6. Step 6: Final answer
    x = 615.15

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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.