Home / 1,191.04-1,786.22-460.20

Finding the Fourth Proportional to 1,191.04, 1,786.22 and 460.20

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Solution

The fourth proportional to 1,191.04, 1,786.22 and 460.20 is: 690.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.04 : 1,786.22 = 460.20 : x
  2. Step 2: Convert to fraction form
    1,191.04/1,786.22 = 460.20/x
  3. Step 3: Cross multiply
    1,191.04x = 1,786.22 × 460.20
  4. Step 4: Simplify right side
    1,191.04x = 822,018.44
  5. Step 5: Solve for x
    x = 822,018.44/1,191.04
  6. Step 6: Final answer
    x = 690.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.