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Finding the Fourth Proportional to 1,229.13, 1,843.69 and 407.45

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Solution

The fourth proportional to 1,229.13, 1,843.69 and 407.45 is: 611.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.13 : 1,843.69 = 407.45 : x
  2. Step 2: Convert to fraction form
    1,229.13/1,843.69 = 407.45/x
  3. Step 3: Cross multiply
    1,229.13x = 1,843.69 × 407.45
  4. Step 4: Simplify right side
    1,229.13x = 751,212.51
  5. Step 5: Solve for x
    x = 751,212.51/1,229.13
  6. Step 6: Final answer
    x = 611.18

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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.