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Finding the Fourth Proportional to 1,228.00, 1,842.31 and 406.33

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Solution

The fourth proportional to 1,228.00, 1,842.31 and 406.33 is: 609.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.00 : 1,842.31 = 406.33 : x
  2. Step 2: Convert to fraction form
    1,228.00/1,842.31 = 406.33/x
  3. Step 3: Cross multiply
    1,228.00x = 1,842.31 × 406.33
  4. Step 4: Simplify right side
    1,228.00x = 748,587.11
  5. Step 5: Solve for x
    x = 748,587.11/1,228.00
  6. Step 6: Final answer
    x = 609.60

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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.