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Finding the Fourth Proportional to 1,227.52, 1,840.88 and 405.64

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Solution

The fourth proportional to 1,227.52, 1,840.88 and 405.64 is: 608.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.52 : 1,840.88 = 405.64 : x
  2. Step 2: Convert to fraction form
    1,227.52/1,840.88 = 405.64/x
  3. Step 3: Cross multiply
    1,227.52x = 1,840.88 × 405.64
  4. Step 4: Simplify right side
    1,227.52x = 746,734.56
  5. Step 5: Solve for x
    x = 746,734.56/1,227.52
  6. Step 6: Final answer
    x = 608.33

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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.