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Finding the Fourth Proportional to 1,227.54, 1,841.37 and 405.66

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Solution

The fourth proportional to 1,227.54, 1,841.37 and 405.66 is: 608.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.54 : 1,841.37 = 405.66 : x
  2. Step 2: Convert to fraction form
    1,227.54/1,841.37 = 405.66/x
  3. Step 3: Cross multiply
    1,227.54x = 1,841.37 × 405.66
  4. Step 4: Simplify right side
    1,227.54x = 746,970.15
  5. Step 5: Solve for x
    x = 746,970.15/1,227.54
  6. Step 6: Final answer
    x = 608.51

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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.