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Finding the Fourth Proportional to 1,227.21, 1,840.83 and 349.60

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Solution

The fourth proportional to 1,227.21, 1,840.83 and 349.60 is: 524.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.21 : 1,840.83 = 349.60 : x
  2. Step 2: Convert to fraction form
    1,227.21/1,840.83 = 349.60/x
  3. Step 3: Cross multiply
    1,227.21x = 1,840.83 × 349.60
  4. Step 4: Simplify right side
    1,227.21x = 643,559.47
  5. Step 5: Solve for x
    x = 643,559.47/1,227.21
  6. Step 6: Final answer
    x = 524.41

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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.