Home / 1,233.22-1,849.14-411.04

Finding the Fourth Proportional to 1,233.22, 1,849.14 and 411.04

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Solution

The fourth proportional to 1,233.22, 1,849.14 and 411.04 is: 616.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.22 : 1,849.14 = 411.04 : x
  2. Step 2: Convert to fraction form
    1,233.22/1,849.14 = 411.04/x
  3. Step 3: Cross multiply
    1,233.22x = 1,849.14 × 411.04
  4. Step 4: Simplify right side
    1,233.22x = 760,070.51
  5. Step 5: Solve for x
    x = 760,070.51/1,233.22
  6. Step 6: Final answer
    x = 616.33

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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.