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Finding the Fourth Proportional to 1,227.54, 1,841.29 and 405.88

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Solution

The fourth proportional to 1,227.54, 1,841.29 and 405.88 is: 608.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.54 : 1,841.29 = 405.88 : x
  2. Step 2: Convert to fraction form
    1,227.54/1,841.29 = 405.88/x
  3. Step 3: Cross multiply
    1,227.54x = 1,841.29 × 405.88
  4. Step 4: Simplify right side
    1,227.54x = 747,342.79
  5. Step 5: Solve for x
    x = 747,342.79/1,227.54
  6. Step 6: Final answer
    x = 608.81

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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.